One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle.

Question

Find the measure of the LARGEST angle.

Answer: The LARGEST angle has a measure of_________degrees

Answer 1

L = 3S

M=30+S

L+M+S = 180

3S + 30+S + S = 180

5S = 180-30 = 150

S = 150/5 = 30 degrees = Smaller Angle

L = 3(30) = 90 degrees = Larger Angle

M = 30+30 = 60 degrees = the Third or Middle sized Angle