### Geo Final Topics 6 and 7#### Problem Statement:**Find the measure of the numbered angles in the rhombus. The diagram is not to scale.**![Diagram of a rhombus](Diagram-of-a-rhombus)In the given diagram, the rhombus is divided into four smaller triangles. The diagram includes the following angles and sides:- Angle at the top (marked as 44°)- Four internal angles to be determined (labeled as 1, 2, and 3)#### Potential Answers:- **Option A:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 46°$- **Option B:** $m∠1 = 90°, \, m∠2 = 46°, \, \text{and} \, m∠3 = 44°$- **Option C:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 44°$- **Option D:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 68°$### Explanation:To find the correct measures of the angles labeled 1, 2, and 3 in the rhombus, consider the properties of rhombuses, such as opposite angles being equal and the diagonals bisecting each other at right angles.#### Additional Notes:- **Diagram Specifics:** The diagram shows a rhombus with a specific angle of 44° at the top vertex, and the diagonals intersect forming four smaller triangles within the rhombus.- **Required Knowledge:** Understanding of the properties of rhombuses and how diagonals intersect can help solve this problem correctly.This problem is a typical example in geometry that tests understanding of angle relationships in quadrilaterals, particularly rhombuses.

Answered: Image /qna-images/answer/c0c3d934-c9ac-4661-a878-3453938e5151.jpg

Find the measure of the numbered angles in the rhombus. The diagram Is not to scale. 44° 21 O m21 = 90, m22=44, and mZ3 = 46 O mZ1 = 90, mZ2=D46, and mZ3 = 44 O m21 = 90, mZ2=44, and mZ3 = 44 O m21 = 90, mZ2=44, and mZ3 = 68

Find the measure of the numbered angles in the rhombus. The diagram Is not to scale. 44° 21 O m21 = 90, m22=44, and mZ3 = 46 O mZ1 = 90, mZ2=D46, and mZ3 = 44 O m21 = 90, mZ2=44, and mZ3 = 44 O m21 = 90, mZ2=44, and mZ3 = 68

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: A civil engineer plans to build an incline bridge over a river as shown. Villiers Steyn/Shutterstock…

Q: Find mZS S T. 65x 23х + 4 R U

A: Given:

Q: Solve the oblique triangle given a = 20.7, 6 = 10.2, c = 24.3. %3D a a b

Q: a = 6 m, 6 = 3 m and c = 1 m for the triangle shown below. a b. x. Work out the value of x, giving…

Q: Find the value of each variable in the parallelogram. 3x + 2 2y-7 23 17 14 3y+57 2x-5 9. 130 50 5k…

A: Simply use the properties in parallelogram and solve the linear equations to find unknown.

Q: Ili. For the parallelogram shown in Fig. below. Determine the magnitude of the angles a, b, c, and d…

Q: Use the SAS or SSS area theorem to find the area of the following triangles Figure 1: A=? Figure 2:…

Q: The diagram below shows rectangle RSTU with two diagonals drawn. (6x-15)° 63° T What is the measure…

A: Given geometry is rectangle with angle ∠T=63°.

Q: II. ABCD is a parallelogram. Find the indicated values: A 20 B 14 C 729 15 10 112° my E 40° D BE…

Q: 20. In triangle ABC belc A A. -4

A: We know that in a triangle by midpoint theorem line segment joining the midpoint of two sides of the…

Q: .T 49 14 M U V. 8 28 Determine if the triangles are similar or not. SSS- AA - SAS - Not~

A: solution

Q: lelogram-shaped piece of plywood to make the sofa, where 22= 70°. Find /1 and z3. Circle the letter…

A: Topic:- properties of parallelogram

Q: In the accompanying diagram, chords AB and CD intersect at E. If mAC = (10x + 4)° MLAED = 45° and…

Q: For the Triangle shown below: Pi= (0,0,2), P2= (0,2,0), P3-(0,4,2), P4-(0,2,4), P5-(2,2,2). P4 P5 P3…

Q: find the value/measure of the missing variable or indicated angle/segment.( assume not to scale)

Q: 3. How many linear pairs are there? а. 4 b. 6. с. 8. d. 16 4. What do you call m24 and m26? a.…

A: Two adjacent angles forming a straight line are called linear pair angles and the sum of the linear…

Q: Find the angle with least positive measure coterminal with-41°.

A: Answer is option b that is 319

Q: 2. Find x and the measure of each angle. MLEGF = 2x - 18) (4x) MLFGH =

Q: Use parallelogram 5TUV. W 1. ST = 29 and VU = 2x + 5. Find the value of x. 2. MZSTU = 112° and M2UVS…

A: Given: ST=29 VU=2x+5 m∠STU=112° m∠UVS=(5y-3)° SW=10 and TW=7

Q: ABCD is a parallelogram. Find each measure. Зх + 2y B, (6х + 5)° AB = mLA = BC = mLB = 7y CD = m²C =…

A: about parallelogram we know opposite angles of parallelogram are equal. sum of two adjacent angle in…

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

### Geo Final Topics 6 and 7

#### Problem Statement:
**Find the measure of the numbered angles in the rhombus. The diagram is not to scale.**

![Diagram of a rhombus](Diagram-of-a-rhombus)

In the given diagram, the rhombus is divided into four smaller triangles. The diagram includes the following angles and sides:
- Angle at the top (marked as 44°)
- Four internal angles to be determined (labeled as 1, 2, and 3)

#### Potential Answers:
- **Option A:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 46°$
- **Option B:** $m∠1 = 90°, \, m∠2 = 46°, \, \text{and} \, m∠3 = 44°$
- **Option C:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 44°$
- **Option D:** $m∠1 = 90°, \, m∠2 = 44°, \, \text{and} \, m∠3 = 68°$

### Explanation:
To find the correct measures of the angles labeled 1, 2, and 3 in the rhombus, consider the properties of rhombuses, such as opposite angles being equal and the diagonals bisecting each other at right angles.

#### Additional Notes:
- **Diagram Specifics:** The diagram shows a rhombus with a specific angle of 44° at the top vertex, and the diagonals intersect forming four smaller triangles within the rhombus.
- **Required Knowledge:** Understanding of the properties of rhombuses and how diagonals intersect can help solve this problem correctly.

This problem is a typical example in geometry that tests understanding of angle relationships in quadrilaterals, particularly rhombuses.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

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

Q2- In the traverse ABC, the coordinates of points A and B was (200,400) and (350,200) respectively, the interior angle at B=50° and at C=90°. Find the coordinate of C.
What is the description of each angle as it relates to the diagram below? 12. Z1 13. 2 14. Z3 15. 24
Angela needs to draw perpendicular bisectors. At what points would she mark on each side of this triangle? 7 ft 12 ft 14 ft O 7 ft, 3.5 ft, 6 ft O 7 ft, 4.5 ft, 6 ft O 14 ft, 7 ft, 12 ft O 7 ft, 4 ft, 6 ft search F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 23 2$ & 3 6 7 8 W E R Y P S D F G H J K L 4.
Which angle number represents an angle vertical to ZDHE? C G 1 А В 3 2 F H D E 4-