Answer:
x = 24
y = 15
Step-by-step explanation:
Since, angles (3x - 29)° and (6x - 7)° is a pair of consecutive exterior angles,
Therefore, (3x - 29)° + (6x - 7)° = 180°
9x - 36 = 180
9x = 180 + 36
x = [tex]\frac{216}{9}[/tex]
x = 24
Therefore, (3x - 29)° = 3(24) - 29
= 43°
Since, angles (3x - 29) and (8y + 17) is a linear pair.
(3x - 29)° + (8y + 17)° = 180°
43° + (8y + 17)° = 180°
8y + 60 = 180
8y = 120
y = 15
Therefore, x = 24 and y = 15 will be the answer.
