### Geometry Problem on Triangle Angles**Problem Statement:**Given:- Measure of ∠A = 87°- Measure of ∠B = 32°Find:- Measure of ∠1 (Put just the number)**Diagram Explanation:**The figure provided is a triangle labeled as follows:- Vertex $ A $ at the top.- Vertex $ B $ at the bottom right.- Vertex $ C $ at the bottom left.The triangle is denoted ABC with:- Angle A being at vertex A with a measure of 87°.- Angle B being at vertex B with a measure of 32°.- ∠1 is an exterior angle located at vertex C, pointing away from the base of the triangle.### Solution:Using the triangle angle sum property:\[ m∠C = 180° - m∠A - m∠B \]\[ m∠C = 180° - 87° - 32° \]\[ m∠C = 180° - 119° \]\[ m∠C = 61° \]Since ∠1 is an exterior angle, it is equal to the sum of the interior opposite angles:\[ m∠1 = m∠A + m∠B \]\[ m∠1 = 87° + 32° \]\[ m∠1 = 119° \]Therefore:\[ m∠1 = \boxed{119} \]

Name: ### Geometry Problem on Triangle Angles**Problem Statement:**Given:-
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: ### Geometry Problem on Triangle Angles**Problem Statement:**Given:- Measure of ∠A = 87°- Measure of ∠B = 32°Find:- Measure of ∠1 (Put just the number)**Diagram Explanation:**The figure provided is a triangle labeled as follows:- Vertex $ A $ at t

Answered: Image /qna-images/answer/13cedb7c-5c48-4bb7-baf7-c59e81b445ca.jpg

Answered: If mzA = 87° and mzB = 32°, find mz1.…

Math

Algebra

If mzA = 87° and mzB = 32°, find mz1. %3D %3D (Put just the number)

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...

See similar textbooks

Related questions

Q: Find the value for z and y and explain please

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Brianne is traveling by train from Stratford to London, and after 30 minutes the train passes the…

A: The formula used below are Distance between two points (x1,y1) and (x2,y2) =[(x2 -x1 )²+(y2 -y1…

Q: (끌-이 / t COT

Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

Q: 1. (2x+6)° 3y +2 118°

A: We know that, opposite angles of a parallelogram are equal (or congruent). Also, Consecutive angles…

Q: 20° 55°

A: To calculate the value of x and y.

Q: given : g(2) f(a) = 9'(a) = 2 f'(2) = 2 Find h'(2). iF bANE n(x) = In f (X) + x g(x) %3D %3D f(2) 1…

A: We have to find

Q: (8x +40)" (7y) (3y-10 X = y.

A: Solution:Given a parellelogramTo find x and yProperty:In a parellelogram sum of two adjacent angles…

Q: Calculate the height of the two buildings in the figure.

A: In a right angled triangle, the tangent of an angle is given by :…

Q: Find the change in elevation from A and B.

A: We need to find the elevation from A and B

Q: Ratings from 1 (lowest) to 10 (highest) from 36 taste testers 1 6 10 2 10 10 5 10 5 8 8 5 6 10 2 4…

A: To make frequency table, first we check the minimum and maximum value in the given data then we…

Q: Solve for r. E C 3 A B

A: We have to find x

Q: Suppose n(U) = 150, n(A) = 37, and n(B) = %3D %3D %3D a. If n(AU B) = 100, find n(AN B) and draw a…

Q: Given parallel arrays, What would be the output of the 3rd element of fees? char types[5] = ('A, 'B,…

A: 125

Q: 2. Find the coordinates of the y-intercept of the plane (x, y, z)=(4,6,5) +s(2,3,1) + t(3,6,12)

A: To find out the coordinate of y-intercept.

Q: Evaluate the following limit using L'Hopital's Rule. Vx2 lim x0 ex-1-x

Q: Consider the following problem; max(x? + 2y) s. to 5-x² - y >0 and y >0

A: Extreme Value Theorem- If f(x,y) is continuous in some closed and bounded set D in ℝ2, then there is…

Q: y 6. LA 2 D

Q: For Questions 3 complete the following: a) State the null and alternate hypotheses. Will we use a…

A: Given: n1=11x¯1=25200s1=8400n2=9x¯2=19900s2=7600α=0.01 Part a: The test hypothesis are, H0:μ1 = μ2…

Q: Find the exact value.

A: Given: a.tan330°b.tan-225°

Q: 11 km 6.3 km A 12.1 km

A: Given, We know that, The area of the triangle with sides a,b and c is given by…

Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

Topic Video

Question

### Geometry Problem on Triangle Angles

**Problem Statement:**

Given:
- Measure of ∠A = 87°
- Measure of ∠B = 32°

Find:
- Measure of ∠1 (Put just the number)

**Diagram Explanation:**

The figure provided is a triangle labeled as follows:
- Vertex $ A $ at the top.
- Vertex $ B $ at the bottom right.
- Vertex $ C $ at the bottom left.

The triangle is denoted ABC with:
- Angle A being at vertex A with a measure of 87°.
- Angle B being at vertex B with a measure of 32°.
- ∠1 is an exterior angle located at vertex C, pointing away from the base of the triangle.

### Solution:

Using the triangle angle sum property:
\[ m∠C = 180° - m∠A - m∠B \]
\[ m∠C = 180° - 87° - 32° \]
\[ m∠C = 180° - 119° \]
\[ m∠C = 61° \]

Since ∠1 is an exterior angle, it is equal to the sum of the interior opposite angles:
\[ m∠1 = m∠A + m∠B \]
\[ m∠1 = 87° + 32° \]
\[ m∠1 = 119° \]

Therefore:
\[ m∠1 = \boxed{119} \]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Propositional Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

Solve the right triangle shown at the right for all unknown sides and angles.
Draw an angle in standard position whose terminal side contains the point (2, â€“3). Find the distance from the origin to this point.
Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a phone cable from City A to City B, which lies on the opposite bank 5 miles down the river. You will lay L miles of the cable along the north shore of the river, and from the end of that stretch of cable you will lay W miles of cable running under water directly toward City B. See Figure 2.108. Figure 2.108 You will need the following fact about right triangles: A right triangle has two legs, which meet at the right angle, and the hypotenuse, which is the longest side. An ancient and beautiful formula, the Pythagorean theorem, relates the lengths of the three sides: Lengthofhypotenuse=Lengthofoneleg2+Lengthofotherleg2 a. Find an appropriate right triangle that shows that W=1+(5L)2 b. Find a formula for the length of the total phone cable P from City A to City B as a function of L. c. Make a graph of the total phone cable length P as a function of L, and explain what the graph is showing. d. What value of L gives the least length for the total phone cable? Draw a picture showing the least-length total phone cable.
Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the perpendicular bisectors of the three sides appear to meet at a common point?
In right triangle ABC,CD- is the altitude from C to hypotenuse AB-. Name three triangles that are similar to each other.
To determine the angle of elevation of a star in the sky, you align the star and the top of the backboard of a basketball hoop that is 5 feet higher than your eyes in your line of vision (see figure). Your horizontal distance from the backboard is 12 feet. What is the angle of elevation of the star?
Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The window in Alberts room is 4.0 feet high and 6.5 feet wide. (Sec Figure 24.) a. Calculate the area of the floor surface in Alberts room that is illuminated by the sun when the angle of elevation of the sun is 84. b. One winter day the angle of elevation of the sun outside Alberts window is 37. Will the illuminated area of the floor in Alberts room be greater on the summer day, or on the winter day? Figure 24