Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q19. (page 689)

Find m∠1.

Short Answer

Expert verified

The measure of the angle is 65°.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Concept used.

If two angles formed at the intersection point of two lines are opposite to each other, then the measures of the angles, called as vertical angles, are equal.

03

Step 3. Calculation.

∠1has the same measure as its opposite angle. Since the angle opposite to ∠1 has a measure of 65°, write,

m∠1=65°

04

Step 4. Conclusion.

The measure of the angle that is vertical to an angle measuring 65° is 65°.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

Solve the equation by first clearing the fractions.

-112=12x-49

Tell whether the angles are complementary, supplementary, or neither.

m∠3=98°m∠4=82°

∠3 and ∠4 arecomplementary angles, and m∠3=24°. Find m∠4.

Use the diagram. For lines mand nto be parallel, what must the value of xbe?

  1. Tell whether the labelled angles are corresponding, alternate interior, or alternate exterior angles.
  2. Write an equation that relates the angles measures.
  3. Solve the equation for x.

Tell whether the angles are complementary, supplementary, or neither.

m∠3=64°m∠4=116°
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

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.

Sign-up for free