Answer:
x = 29 , ∠ 6 = 28° , ∠ 7 = 152°
Step-by-step explanation:
∠ 6 and ∠ 7 are same- side interior angles and sum to 180°
sum the 2 angles, equate to 180 and solve for x
x - 1 + 5x + 7 = 180 ( simplify left side )
6x + 6 = 180 ( subtract 6 from both sides )
6x = 174 ( divide both sides by 6 )
x = 29
Then
∠ 6 = x - 1 = 29 - 1 = 28°
∠ 7 = 5x + 7 = 5(29) + 7 = 145 + 7 = 152°
