Question

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five

times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.

Answer 1

x=30°

y=62°

z=88°

Explanation:

x+y+z=180

y+z=5x

so x+5x=180

6x=180

x=180/6=30

again z=y+26

so 30+y+y+26=180

2y=180-56=124

y=124/2=62

z=62+26=88