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
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Question
The diagram shows a parallelogram. What is the measure of
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6875133e-f6c4-42a3-814e-7e160172ee39%2F746f1b34-0cb2-4375-9354-6de7862e0fb5%2Ftl9wqwxh_processed.jpeg&w=3840&q=75)
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.
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