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3 years ago

Please help!

Mathematics

1 answer:

loris [4]3 years ago

8 0

m∠B = 33° is the answer.

Step-by-step explanation:

If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

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