Question

One angle of a triangle measures twice the smallest angle. The third angle measures five more than twice the smallest angle. Find the measure of the smallest angle.

Answer 1

Answer: The smallest angle is 35°

Explanation:

1 angle: 2x

smallest angle: x

third angle: 2x + 5

all angles in a triangle add up to 180 degrees. Therefore,

2x+x+2x+5 = 180

5x+5=180

5x+5(-5)=180(-5)

5x = 175

5x/5 = 175/5

x = 35

The smallest angle is 35°