Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q23. (page 690)

Use the given information to find m∠2.

∠1 and ∠2 arecomplementary angles, and m∠1=81°.

Short Answer

Expert verified

The measure of angle m∠2 is 9°.

Step by step solution

01

Step 1. Given Information.

m∠1=81°

02

Step 2. Concept used.

If the sum of two angles is 90° then the angles are called complementary angles and if the sum is 180° then the angles are called supplementary angles.

03

Step 3. Calculation.

Since ∠1 and ∠2 are complementary angles.

m∠1+m∠2=90°81°+m∠2=90°m∠2=90°−81°=9°

04

Step 4. Conclusion.

The measure of the angle that is complementary to an angle measuring 81° is 9°.

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

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

∠2and∠7

The intersection of the borders of Utah, Colorado, New Mexico, and Arizona is called Four corners. On the map, m∠1=90°. Find m∠2, m∠3, and m∠4.

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

m∠1=140°m∠2=40°

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

∠1and∠8

In the diagram, use only what you know about supplementary angles to write expressions for m∠1, m∠2, and m∠3 in terms of x. Then use the expressions to show that the vertical angles have equal measures.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

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