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AlexFokin [52]
4 years ago
7

I need help on this plzzz

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
5 0

Answer:

The answer to your question is ∠B = 47, ∠F = 69, ∠H = 62, ∠K = 51

Step-by-step explanation:

To find the values of the angles, use the theorem that states that the sum of the internal angles in a triangle equals 180°.

-Find A

        ∠A + ∠B + ∠C = 180°

        82 + ∠B +  51 = 180°

        ∠B = 180 - 82 - 51

        ∠B = 47°

-Find F

        ∠E + ∠F + ∠D = 180

        49 + ∠F + 62 = 180

        ∠F = 180 - 49 - 62

        ∠F = 69°

-Find H

        ∠G + ∠H + ∠I = 180

        ∠H = 180 - 49 - 69

         ∠H = 62°

-Find K

        ∠J + ∠K + ∠L = 180°

        82 + ∠K + 47 = 180°

        ∠K = 180 -82 - 47

        ∠K = 51°

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