Question

One angle of a triangle has a measure of 66°. The measure of the third angle is 57° more

than I the measure of the second angle. The sum of the angle measures of a triangle is 180°.
What is the measure of the second angle? What is the measure of the third angle?

Answer 1

Second angle= 28.5°

Third angle= 85.5°

Explanation:

Let x=second angle

Let x+57°=Third angle

Therefore 66°+x+(x+57°)=180°

66°+2x+57°=180°

123°+2x=180°

2x=180°-123°

2x=57°

2x/2=47°/2

x=28.5°