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Chapter 2: Q. 199 (page 144)

The two smaller angles of a

right triangle have equal

measures. Find the measures of

all three angles.

Short Answer

Expert verified

The three angles measures:45掳,45掳and90掳.

Step by step solution

01

Given information:

Let 鈭�Aand 鈭�Bbe the two smaller equal angles of measure a掳

Third angle 鈭�Cbe 90掳(Right triangle)

02

Step 2:

Formula:鈭�A+鈭�B+鈭�C=180掳

03

Step 3:

Substitute,a掳+a掳+90掳=180掳

04

Step 4:

Solving: 2a掳+90掳=180掳

2a掳=180掳-90掳2a掳=90掳a掳=90掳2=45掳

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