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Chapter 3: Q. 232 (page 373)

The measure of the smallest angle of a right triangle is 20掳 less than the measure of the next larger angle. Find the measures of all three angle.

Short Answer

Expert verified

All the angles of that triangle are 55掳 35掳 and 90掳

Step by step solution

01

Step 1. Given information  

The measure of the smallest angle of a right triangle is 20掳 less than the measure of the next larger angle.

02

Step 2. Angles of the triangle. 

Let the second largest angle of a right angled triangle be x掳 and smallest angle is 20掳 less than the second largest angle. Now we know that sum of all the angles in a triangle is 180掳 .

鈭�A+鈭�B+鈭�C=180掳x掳+90掳+x掳-20掳=180掳2x掳=180掳-70掳x掳=55掳

So all the angles of that triangle are 55掳 35掳 and 90掳

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