Question

Find x, y, and z. Please Show work how you did!

Answer 1

x = 108

y = 36

z = 30

Explanation:

(x)° + 72° = 180° (interior angles on the same side of transversal)

-> (x)° = 180 - 72°

-> (x)° = 108°

-> x = 108

(3y)° = (x)° (corresponding angles)

-> 3y = x

-> 3y = 108

-> y = 108/3

-> y = 36

(3z + 18)° = (x)° (corresponding angles)

-> 3z + 18 = x

-> 3z + 18 = 108 - 18

-> 3z = 108 - 18

-> 3z = 90

-> z = 90/3

-> z = 30

Answer 2

y=36,x=108,z=30

Explanation:

1)180°=72°+(3y)°

=>(3y)°=180°-72°

=>(3y)°=108°

=>3y=108

=>y=36

2)(x)°=(3y)°=>x=108

3)(3z+18)°=108°=>3z+18=108=>3z=90=>z=30