Answer/Step-by-step explanation:
m<MAH = 90° (linear pair. It is also supplementary to m<MAK = 90°)
m<MAL + m<HAL = m<MAH
Which is:
(9x + 1) + (x + 9) = 90°
Solve for x
9x + 1 + x + 9 = 90
Collect like terms
9x + x + 1 + 9 = 90
10x + 10 = 90
Subtract both sides by 10
10x + 10 - 10 = 90 - 10
10x = 80
Divide both sides by 10
x = 8
Find m<MAL
m<MAL = 9x + 1
Plug in the value of x
m<MAL = 9(8) + 1 = 72 + 1 = 73°
Find m<HAL
m<HAL = x + 9
m<HAL = 8 + 9 = 17°
