Question

What is the m
52
40
45
54

Answer 1

○
`\displaystyle 54°`

Explanation:

Use the Triangular Interior Angles Theorem to figure this out:

180° = [3x]° + [2x]° + [5x]°

`\displaystyle (180°)/(10°) = ([10x]°)/(10°) \\ \\ 18 = x`

Plug this back into the m∠L to get 54°.

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