Chapter 2: Q15. (page 52)

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

Short Answer

Expert verified

The measure of the angle $∠ V O W$ is $25 °$ .

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 $180 °$ .

Therefore, $∠ Y O W + ∠ V O W + ∠ U O V = 180 °$

Step 3. Find the measure of the angle VOW.

As, $∠ Y O W + ∠ V O W + ∠ U O V = 180 °$ .

Therefore,

$∠ Y O W + ∠ V O W + ∠ U O V = 180 ° 120 ° + ∠ V O W + 35 ° = 180 ° 155 ° + ∠ V O W = 180 ° ∠ V O W = 180 ° - 155 ° ∠ V O W = 25 °$

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

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

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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In the diagram, OT↔bisects ∠SOU, m∠UOV=35, and m∠YOW=120. Find the measure of each angle.m∠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

Logic and Functions

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

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