The measure of the first angle is x

Question

The residents of a downtown neighborhood

designed a triangular-shaped park as part of a

city beautification program. The park is bound by

streets on all sides. The second angle of the

triangle is 4º more than the first. The third angle

is 4° less than eight times the first. Find the

measures of the angles.

The measure of the first angle is x =

Answer 1

first angle = 18 degrees

second = 4+18 = 22 degrees

third = 8(18)-4 = 144-4 = 140 degrees

18+22+140 = 180 degrees