The second angle in a triangle is three times as large as the first. The measure of the third angle is 60° less than twice the measure of the first. Find the angle measures

Answer 1

B = 3A

C = 2A -60

A+B+C =180

A +3A +2A -60 = 180

6A = 240

A = 40 degrees = 1st angle

B = 3(40) = 120 degrees = 2nd angle

C =2(40)-60 = 20 degrees = 3rd angle

40+120 +20 = 180 degrees For any triangle sum of 3 angles always = 180 degrees