Question

If m 21 = 9n and m22 = n+10, then what is the value of n?
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RECORDED WITH

Answer 1

n = 8

Explanation:

`m \angle 1 = 9n \\ m \angle \: 2 = n + 10 \\ \\ \because \: m \angle 1 + m \angle 2 = 90 \\ \therefore \: 9n + n + 10 = 90 \\\therefore \: 10n = 90 - 10 \\ 10n = 80 \\ n = (80)/(10) \\ \huge \red{ \boxed{ n = 8}}`