Answer:
78° and 65°
Step-by-step explanation:
(5)
The 2 angles lie on a straight line and sum to 180° , that is
x + 84 + x + 108 = 180
2x + 192 = 180 ( subtract 192 from both sides )
2x = - 12 ( divide both sides by 2 )
x = - 6
Then
x + 84 = - 6 + 84 = 78°
(6)
the angle opposite 8x is 9x - 7 ( corresponding to the 9x - 7 )
So 8x and 9x - 7are vertical angles and congruent
9x - 7 = 8x ( subtract 8x from both sides )
x - 7 = 0 ( add 7 to both sides )
x = 7
Then
9x - 7 = 9(7) - 7 = 63 - 7 = 56°
