/*! 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. 2.65 The measure of one angle of a ri... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 2.65 (page 136)

The measure of one angle of a right triangle is 50 more than the measure of the smallest angle. Find the measures

of all three angles.

Short Answer

Expert verified

20掳,70掳,90掳are the measures of all three angles.

Step by step solution

01

Step 1. Given Information:

The measure of one angle of a right triangle is 50 more than the measure of the smallest angle.

We have to find the measures of all three angles.

02

Step 2. Name.

Choose a variable to represent it.

Leta=1stangle.a+50掳=2ndangle90掳=3rdangle(therightangle)

Draw the figure and label it with the given information.

03

Step 3. Translate.

Write the appropriate formula.

m鈭�A+m鈭�B+m鈭�C=180掳

Substitute into the formula.

a+(a+50)+90掳=180掳

04

Step 4. Solve the equation.

a+(a+50掳)+90掳=180掳2a+140掳=180掳2a=180掳-140掳2a=40掳a=20掳firstanglea+50secondangle20掳+50掳=70掳90掳thirdangle

05

Step 5. Check

20掳+70掳+90掳=180掳180掳=180掳

verified

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

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

914d+9+4d=1310d+6+3

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

118c+5-8c=240c+25+5

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

18u-51=94u+5-63u-10

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

243d-4+100=52

The length of the rectangle is three meters less than twice the width. The perimeter of a rectangle is 36 meters. Find the dimensions of the rectangle.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

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.