V W 2p+81° P+99° U T

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
icon
Related questions
Question

The diagram shows a parallelogram. What is the measure of angle W?

The diagram shows a parallelogram. What is the measure of angle W?

In the parallelogram VWUT:

- Angle W is labeled as \(2p + 81^\circ\).
- Angle U is labeled as \(p + 99^\circ\).

Since opposite angles in a parallelogram are equal, and consecutive angles are supplementary:

- \( \angle W + \angle U = 180^\circ \).

Thus, to find the measure of angle W, set up the equation:
\[ (2p + 81) + (p + 99) = 180 \]

Solve for \(p\) and substitute back to find angle W.
Transcribed Image Text:The diagram shows a parallelogram. What is the measure of angle W? In the parallelogram VWUT: - Angle W is labeled as \(2p + 81^\circ\). - Angle U is labeled as \(p + 99^\circ\). Since opposite angles in a parallelogram are equal, and consecutive angles are supplementary: - \( \angle W + \angle U = 180^\circ \). Thus, to find the measure of angle W, set up the equation: \[ (2p + 81) + (p + 99) = 180 \] Solve for \(p\) and substitute back to find angle W.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
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