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Chapter 3: Q. 214 (page 373)

The measures of two angles of a triangle are 47 and 72 degrees. Find the measure of the third angle.

Short Answer

Expert verified

Third angle is61∘

Step by step solution

01

Step 1. Given information

The measures of two angles of a triangle are 47 and 72 degrees.

02

Step 2. Third angle

Sum of angles of a triangle is 180degrees.

Let the third angle be x,

According to question,

47+72+x=180x+119=180x=180-119x=61

03

Step 3. Verification

Verify the angle as,

47+72+61=180180=180

LHS is equal to RHS

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