Question

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Answer 1

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°