Question

Solve for m

Answer 1

Answer:

• m = 10°
• ∠MHL = 30°

Explanation:

∠MHL and ∠MHJ are supplementary angles that is some of the measure of both angle is 180°, because these angle are on a line.

∠MHL + ∠MHJ = 180°

substituting values.

⟹ (2m + 10)° + (5m + 100)° = 180°

⟹ 5m + 2m + 10 + 100 = 180°

⟹ 7m + 110 = 180°

⟹ 7m = 180° - 110°

⟹ 7m = 70°

⟹ m = 70/7

⟹ m = 10

m = 10°

measure of ∠MHL is

⟹ (2m + 10 )°

⟹ 2(10°) + 10°

⟹ 20° + 10°

⟹ 30°

∠MHL = 30°

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