/*! 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.14 Explain why the sum of the measu... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q.14 (page 539)

Explain why the sum of the measures of the acute angles of a right triangle is90掳.

Short Answer

Expert verified

The sum of the measures of the acute angle of a right triangle is90掳.

Step by step solution

01

Step 1. Given Information.

A right-angled triangle.

02

Step 2. Formula.

Sum of all angles of a triangle is180掳.

03

Step 3. Explanation.

The sum of all the angles of a triangle is180掳.

Let x be the measure of first acute angle of the triangle.

Let y be the measure of second acute angle of the triangle.

Calculate the sum of all the angles.

x+y+90=鈭�180掳

Now, subtract 90 from both the sides.

x+y+90-鈭�90=鈭�180-鈭�90掳

This gives us-

x+y=90掳

04

Step 4. Conclusion.

Hence, successfully proven that the sum of acute angles of a right-angles triangle is equal to90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

The ratio of the angles of a triangle is 3:5:12. Find the angle measures. Then classify the triangle by its angle measures.

Is it possible to have a triangle whose angle measures are in the ratio 3:4:5and whose side lengths are in the same ratio? Explain.

The ratio of the angle measures of a triangle is 1:2:3. Classify the triangle by its angle measures.

  1. Acute G. Obtuse H. Right I. Equiangular

Sketch a trapezoid and label its bases and height. State the formula for finding its area.

Find the value of x. Then classify the triangle by its angle measures.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Decision 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.