Question

Directions: if l || m solve for x and y

Answer 1

x = 24

y = 15

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 =
`(216)/(9)`

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.