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Chapter 3: Q. 3.75 (page 360)

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

Short Answer

Expert verified

The three angles are 90 degrees, 70 degrees, 20 degrees.

Step by step solution

01

Step 1.Given information

Given the right angle triangle so one angle is 90 degrees.

Let x be one angle and other angle is 50 degrees more so then angle is 50+x.

02

step 2.Formula

The sum of all angles are 180 degrees.

a+b+c=180

03

step 3.The solution

x+x+50+90=1802x+140=1802x=180-1402x=40x=20

The small angle is 20.

The other small angle is 50+x=50+20=70.

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