Question

The angles of a triangle add up to 180 degrees.The second angle is 30 degrees larger than the smallest angle.The third angle is 4 times as big as the smallest angle.Find the measure of the smallest angle (in degrees)

Answer 1

We have the following equation

180 = x + (x+30) + (4x)

180 = x + x + 30 + 4x

180= 2x + 30 + 4x

180 = 6x + 30

180 - 30 = 6x

150 = 6 x

x = 150/6

x= 50/2 (we divide the numerator and denominator by 3)

x = 25º

So the measure of the smallest angle is 25º