Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q15. (page 52)

In the diagram, $\overset{鈫�}{O T}$ bisects $鈭� S O U$ , $m 鈭� U O V = 35$ , and $m 鈭� Y O W = 120$ . Find the measure of each angle.
$m 鈭� V O W$

Short Answer

Expert verified

The measure of the angle $鈭� V O W$ is $25 掳$ .

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Write the relations between the angles YOW, VOW and UOV.

From the diagram it can be noticed that:

The angles $Y O W, V O W$ and $U O V$ lies on a straight line $Y U$ .

Therefore, sum of the angles $Y O W, V O W$ and $U O W$ is $180 掳$ .

Therefore, $鈭� Y O W + 鈭� V O W + 鈭� U O V = 180 掳$

Step 3. Find the measure of the angle VOW.

As, $鈭� Y O W + 鈭� V O W + 鈭� U O V = 180 掳$ .

Therefore,

$鈭� Y O W + 鈭� V O W + 鈭� U O V = 180 掳 120 掳 + 鈭� V O W + 35 掳 = 180 掳 155 掳 + 鈭� V O W = 180 掳鈭� V O W = 180 掳鈭� 155 掳鈭� V O W = 25 掳$

Therefore, the measure of the angle $V O W$ is $25 掳$

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91影视

In the diagram, $\overset{鈫�}{O T}$ bisects $鈭� S O U$ , $m 鈭� U O V = 35$ , and $m 鈭� Y O W = 120$ . Find the measure of each angle.
$m 鈭� V O W$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Write the relations between the angles YOW, VOW and UOV.

Step 3. Find the measure of the angle VOW.

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91影视

In the diagram, OT鈫�bisects 鈭�SOU, m鈭�UOV=35, and m鈭�YOW=120. Find the measure of each angle.m鈭�VOW

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Write the relations between the angles YOW, VOW and UOV.

Step 3. Find the measure of the angle VOW.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Decision Maths

Applied Mathematics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the diagram, $\overset{鈫�}{O T}$ bisects $鈭� S O U$ , $m 鈭� U O V = 35$ , and $m 鈭� Y O W = 120$ . Find the measure of each angle.
$m 鈭� V O W$