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

S = 4+F

T = 8F-4

F+S+T = 180

F +4+F+8F-4 =180

10F = 180

F = 180/10 = 18 degrees = the First angle

S = 22 degrees = Second angle

T = 144-4 = 140 degrees = Third angle