/*! 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} Q. 3.76 The measure of one angle of a ri... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 3.76 (page 360)

The measure of one angle of a right triangle is 30掳 more than the measure of the smallest angle. Find the measures of all three angles.

Short Answer

Expert verified

The three angles of given right triangle are30掳,60掳,90掳.

Step by step solution

01

Step 1. Given information

The measure of one angle of a right triangle is 30掳 more than the measure of the smallest angle.

We are given right triangle, so measure on angle will be 90掳.

Let the measure of second angle be x掳

then the measure of second angle will be(x+30)掳.

02

Step 2. Use the angle sum property of the triangle.

We know that the sum of measure of all angle of a triangle is 180掳which means

x掳+(x+30)掳+90掳=180掳

On solving,

x+x+30=902x=90-302x=60x=30掳

03

Step 3. Find the measure of all angles.

As x=30掳then

x+30=60掳

So the measure of all angles of given right triangle is30掳,60掳,90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

Lilah is moving from Portland to Seattle. It takes her three hours to go by train. Mason leaves the train station in Portland and drives to the train station in Seattle with all Lilah鈥檚 boxes in his car. It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the speed of the train. Find Mason鈥檚 speed and the speed of the train.

Ayodele got a raise in her hourly pay, from \(24.50 to \)25.48. Find the percent increase.

300% of 82 is what number?

One number is one more than twice another. Their sum is 鈭�5. Find the numbers.

Sean鈥檚 new car loan statement said he would pay $4866.25in interest from an interest rate of 8.5% over 5 years. How much did he borrow to buy his new car?
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.