Question

(see image for question) p.s. sorry for the bad pic :/

Answer 1

<5 = 64°

Explanation:

`< 6 = (3y - 10) \\ < 4 = (106 - y) \\ < 4 = < 8 \\ < 6 + < 8 = 180 \\ 3y - 10 + 106 - y = 180 \\ 3y - y + 106 - 10 = 180 \\ 2y + 96 = 180 \\ 2y =180 - 94 \\ 2y = 84 \\ y = 42 \\ < 5 + < 6 = 180 \\ 3y - 10 + < 5 = 180 \\ 3(42) - 10 + < 5 = 180 \\ 126 + < 5 = 190 \\ < 5 =190 - 126 \\ < 5 = 64`

Answer 2

74 degrees.

Explanation:

Degree 5 = degree 8 = degree 1 = degree 4, because of the parallel lines.

Degree 6 + Degree 4 = 180.

3y - 10 + 106 - y = 180

2y + 96 = 160

y = 32

Therefore, Degree 4 = 106 - 32 = 74, and Degree 5 = 74.