Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q22 (page 98)

In △RST,m∠R=90and m∠s>20.What can you say about m∠T?

Short Answer

Expert verified

In ΔRST,m∠R=90and m∠S>20then m∠T<70.

Step by step solution

01

Step 1. Apply an angle sum theorem.

The sum of measures of all interior angles of a triangle is 180°.

02

Step 2. Description of step.

In ΔRST,

m∠R+m∠S+m∠T=180

But for m∠S>20,

m∠R+m∠S+m∠T<18090+20+m∠T<180

03

Step 3. Description of step.

Simplify the equation obtained in the step 2.

110+m∠T<180110+m∠T−110<180−110m∠T<70

Therefore, it can be said that m∠Tis less than 70.

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

Name two coplanar segments that do not intersect and yet are not parallel.

Classify each pair of angles as alternate interior, same side interior

or corresponding angles

and

Name the two lines and the transversal that form each pair of angles.

and

Draw a diagram of a six-sided box by following the steps below.

Draw a six-sided top. Then draw Draw vertical edges.

An exact copy of the top directly edges dashed

below it. Make invisible

Classify each pair of angles as alternate interior angles, same-side interior angles, corresponding angles, or none of these.

and

See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

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