Q.)  The sum of the measures of the interior angles of a triangle is 180. the measure of the second angle 2 times the measure of the first angle. the measure of the third angle is 52 more than the measure the first angle. find the measure of the third angle. 

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Ans.1)  Let the measure of 1st angle be x degrees.

Measure of 2nd angle=2x

Measure of 3rd angle=x+52

Sum of interior angles=180

So x+2x+x+52=180

=>4x+52=180

Subtracting 52 from both sides

=>4x=128

Dividing both sides by 4

=>x=32

We know that measure of 3rd angle=x+52=32+52=84