/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q13. (page 52)

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�ZOY

Short Answer

Expert verified

The measure of the angle 鈭�ZOYis 35掳.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Definition of congruent angles.

The two angles are said to be congruent angles if they have equal measure.

If two angles Aand Bare congruent then it can be written as 鈭�A鈮�鈭�B.

03

Step 3. Write the theorem 2-3.

The theorem 2-3 states that the vertical angles are congruent.

04

Step 4. Write the relations between the angles ZOY and UOV.

From the diagram it can be noticed that:

The angles ZOYand UOVare vertically opposite angles.

Therefore, from the theorem 2-3, it can be said that the angles ZOYand UOVare congruent angles.

Therefore, 鈭�ZOY鈮�鈭�UOV.

05

Step 5. Find the measure of the angle ZOY.

As, 鈭�ZOY鈮�鈭�UOV, therefore, 鈭�ZOY=鈭�UOV

Therefore, 鈭�ZOY=鈭�UOV=35掳.

Therefore, the measure of the angle ZOYis 35掳.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Provide a counterexample to show that each statement is false. You may use words or draw a diagram.

If , then B is the midpoint of .

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;

Copy everything shown and supply missing statements and reasons.

Given:

m鈭�1=m鈭�3;

m鈭�2=m鈭�4

Prove: m鈭�ABC=m鈭�DEF

Proof:

State the hypothesis and the conclusion of each conditional.

if S is the midpoint of.

Copy everything shown and supply missing statements and reasons.

Given:FL=AT

Prove: FA=LT

Proof:
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.