Question

In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE HELP

Answer 1

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

so you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

if you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°