Homework Help is Here – Start Your Trial Now!
Math
Geometry
01:28:25 What are the missing angle measures in parallelogram 70° RSTU? mzR = 70°, mLT = 110°, mzU = 110° %3D O mzR = 110°, mzT = 110°, m2U = 70° OM R = 110°, mzT = 70°, mzU = 110° m²R = 70°, mzT = 110°, m2U = 70° R %3D %3D %3D Mark this and return Save and Exit Next Submit

01:28:25 What are the missing angle measures in parallelogram 70° RSTU? mzR = 70°, mLT = 110°, mzU = 110° %3D O mzR = 110°, mzT = 110°, m2U = 70° OM R = 110°, mzT = 70°, mzU = 110° m²R = 70°, mzT = 110°, m2U = 70° R %3D %3D %3D Mark this and return Save and Exit Next Submit

Elementary Geometry For College Students, 7e
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
icon
Related questions
Question
### Determining Missing Angles in a Parallelogram In the image, we have the parallelogram RSTU with one angle measurement provided. The angle at vertex \( S \) is given as \( 70^\circ \). #### Question: **What are the missing angle measures in parallelogram RSTU?** #### Answer Choices: 1. \( m \angle R = 70^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 110^\circ \) 2. \( m \angle R = 110^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 70^\circ \) 3. \( m \angle R = 110^\circ \), \( m \angle T = 70^\circ \), \( m \angle U = 110^\circ \) 4. \( m \angle R = 70^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 70^\circ \) #### Diagram Explanation: The parallelogram RSTU is depicted with: - \( S \) positioned at the bottom left, - \( R \) at the bottom right, - \( T \) at the top right, and - \( U \) at the top left. The image indicates angle measurement at: - \( m \angle S = 70^\circ \). #### Analyzing Angles in Parallelograms: In a parallelogram: 1. Opposite angles are equal. 2. Consecutive angles are supplementary, meaning they add up to \( 180^\circ \). Given \( m \angle S = 70^\circ \): - \( m \angle R \), opposite to \( m \angle S \), also equals \( 70^\circ \). - Consecutive angles \( m \angle T \) and \( m \angle U \): - \( m \angle T = 180^\circ - 70^\circ = 110^\circ \) - \( m \angle U = 110^\circ \) Therefore, the correct angle measures are: - \( m \angle R = 70^\circ \), - \( m \angle T = 110^\circ \), - \( m \angle U = 110^\circ \). Thus, the correct answer
Transcribed Image Text:### Determining Missing Angles in a Parallelogram In the image, we have the parallelogram RSTU with one angle measurement provided. The angle at vertex \( S \) is given as \( 70^\circ \). #### Question: **What are the missing angle measures in parallelogram RSTU?** #### Answer Choices: 1. \( m \angle R = 70^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 110^\circ \) 2. \( m \angle R = 110^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 70^\circ \) 3. \( m \angle R = 110^\circ \), \( m \angle T = 70^\circ \), \( m \angle U = 110^\circ \) 4. \( m \angle R = 70^\circ \), \( m \angle T = 110^\circ \), \( m \angle U = 70^\circ \) #### Diagram Explanation: The parallelogram RSTU is depicted with: - \( S \) positioned at the bottom left, - \( R \) at the bottom right, - \( T \) at the top right, and - \( U \) at the top left. The image indicates angle measurement at: - \( m \angle S = 70^\circ \). #### Analyzing Angles in Parallelograms: In a parallelogram: 1. Opposite angles are equal. 2. Consecutive angles are supplementary, meaning they add up to \( 180^\circ \). Given \( m \angle S = 70^\circ \): - \( m \angle R \), opposite to \( m \angle S \), also equals \( 70^\circ \). - Consecutive angles \( m \angle T \) and \( m \angle U \): - \( m \angle T = 180^\circ - 70^\circ = 110^\circ \) - \( m \angle U = 110^\circ \) Therefore, the correct angle measures are: - \( m \angle R = 70^\circ \), - \( m \angle T = 110^\circ \), - \( m \angle U = 110^\circ \). Thus, the correct answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Fundamental Theorem
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.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS