Write a statement or reason to complete each stepin the proof. The first one is done for you.23. Given: mz1=m2; Z1 and 22 are a linear pair.Prove: m21 = 90°StatementReason1. 21 and Z2 are a linear pair.1. a.Given2. 21 and 22 are supplementary.2. Linear Pair Theorem3. mz1 + mZ2 = b.3. Definition of Supplementary Angles4. m/1=m224. Given5. 2 mz1 = 180°5. C.Prop. of =6. d.6. Division Prop. of =

The statements, we have give a reason for each step.

Write a statement or reason to complete each step in the proof. The first one is done for you. 3. Given: m1=mZ2; Z1 and 22 are a linear pair. Prove: m21 = 90° Statement Reason 1. 21 and 22 are a linear pair. 1. a. Given 2. 21 and 2 are supplementary. 2. Linear Pair Theorem 3. m21 + m22 = b. 3. Definition of Supplementary Angles 4. m21=mZ2 4. Given 5. 2 mz1 =180° 5. C. Prop. of = 6. d. 6. Division Prop. of =

Write a statement or reason to complete each step in the proof. The first one is done for you. 3. Given: m1=mZ2; Z1 and 22 are a linear pair. Prove: m21 = 90° Statement Reason 1. 21 and 22 are a linear pair. 1. a. Given 2. 21 and 2 are supplementary. 2. Linear Pair Theorem 3. m21 + m22 = b. 3. Definition of Supplementary Angles 4. m21=mZ2 4. Given 5. 2 mz1 =180° 5. C. Prop. of = 6. d. 6. Division Prop. of =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: Which statement is correct about the diagram below? Consider the figure below wherel, intersects ,…

A: Consider the given figure. Definition:- 1. Complementary angles are two angles with a sum of 90º. 2.…

Q: Indicate whether each pair of angles would be congruent or supplementary. Lines p and q are…

Q: 26. What is the smallest angle in the figure below? A. <B B. <T 27. What is the largest angle in the…

A: TO FIND: Correct option

Q: Which angle is the alternate interior angle to angle 3? 21 5/6 7/8 3/4 B. 28 2 C. 46 D. 47

A: We are asked to find the alternative interior angle

Q: Both parts are connected. Answer both parts to get the answer.

A: QUES 1 Given Image,∠OAB=50∘,∠OCD=24∘and ∠ODC=59∘In triangle COD, Sum of all angles is…

Q: Given the figure below, l1 || 12. Also m/g=4z +6 and m/h = 6z-36. Which of the statements below are…

A: We will use the concept of linear pair to solve

Q: How many angles are co-terminal with in the domain -10T, 6™ ? (Do not include 2 as one of the…

Q: AACB = ABEF E A LA *Hint: You cannot name the angle as B because there are three different angles at…

A: According to the question, we have to complete the statement ∠A≅∠........ as it is given △ACB≅△BEF.…

Q: MAKE THESE ADDITIONS AND SUBTRACTIONS c) 85°14' 59" + 16° 7' 18" e) 55° 45' 35" + 32°22' 12" 60°41'…

Q: 1-2 pls and thank you

A: We have to find

Q: and 17. The interior angle measures of a triangle are 4, 4

A: Triangle Question

Q: 6. ZF and ZG are supplementary angles. Given ZF = (7x-46)° and ZG= (3x + 6)°, find the valu of x and…

Q: 9. Given a = (1, 2, — 3), b = (- 12, 13, 7) then a + 3b = b. (- 35, 41, 18) a. (-11, 15, 4) c. (3,…

A: 9. a=(1,2,-3)b=(-12,13,7)

Q: Capture 2 for owk 532PNG dta Create e Share photos Add to JKLM ~ QRSP Angles K P Sides M R. 1:14 AM…

A: When two figures are similar then their corresponding angle are equal and the ratio of their…

Q: 9. Find mZCAB and mZABC. (2x-8.5) (12x+20) B с (16x-11)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Sketeh two paralle interior angles. 2. In the figure at the right, j | k. How many angle measures…

A: This question is based on properties of two parallel line cut by third line. 1) Corresponding angles…

Q: Supply the conclusion and identify the kind of reasoning. Write whether it is deductive or…

A: Deductive reasoning gives a valid conclusion or if the premises are true then the conclusion is…

Q: 3. Use the diagram to answer the following questions. 140 L M N A W X Z R a. ZN and 140° are…

Q: How to find the value of x that makes m and n parallel

Q: Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. 1. In…

A: As per company guidelines i am solving first three question please resubmit the question for rest of…

Q: Determine whether the indicated triangles are similar or not. If they are similar, write similarity…

A: * Property of proving Triangles similar is SAS (side angle side). * Ratio of corresponding sides…

Q: mLA = 9x - 7, m£B = 7x - 9, and m2C = 28 - 2x. List the sides of AABC in order from shortest to…

A: Given angles: ∠A=9x-7∠B=7x-9∠C=28-2x Solution: Now we know that the sum of all angles of a triangle…

Q: 7. Name the angle four different ways. 1

A: Consider

Q: 4. mLA Yes 4x 2x

Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

Write a statement or reason to complete each step
in the proof. The first one is done for you.
2
3. Given: mz1=m2; Z1 and 22 are a linear pair.
Prove: m21 = 90°
Statement
Reason
1. 21 and Z2 are a linear pair.
1. a.
Given
2. 21 and 22 are supplementary.
2. Linear Pair Theorem
3. mz1 + mZ2 = b.
3. Definition of Supplementary Angles
4. m/1=m22
4. Given
5. 2 mz1 = 180°
5. C.
Prop. of =
6. d.
6. Division Prop. of =

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given,

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Types of Angles$

Learn more about

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

Similar questions

I need help with this math problem.
2. If the 22=32 degrees, find the other three angles. 4. 2. /13=
Please answer 14-18. They are all connected. Thank you.
1/3 2/7 8/10 9, 14 b 4/6 5/11 13 15 12 16 4. If Z1 = 3x + 4 and 25 = 2x + 1, find mZ4. Z4 ニ 5. Name the angle pair formed by 26 and Z13. Corrospanding 120 6. Which 80 lines are parallel? 70°
Prove.
Can you help me answer this and explain how did you get the answer?
Please answer number 5
Classify the pair of angles shown in the figure, where {1 and {2 are parallel. 22 and 24 4 B 86 7 13 C 10 12 11 16 (14 15 17 18 20 19