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Chapter 3: Q. 213 (page 373)

The measures of two angles of a triangle are 105and31 degrees. Find the measure of the third angle.

Short Answer

Expert verified

Third angle is44鈭�

Step by step solution

01

Step 1. Given information

The measures of two angles of a triangle are 105 and 31 degrees.

02

Step 2. Third angle

Sum of angles of a triangle is 180degrees

Let the third angle be x,

According to the question,

105+31+x=180136+x=180x=180-136x=44

03

Step 3. Verification

Verify the angle as,

105+31+44=180180=180

LHS is equal to RHS

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