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°
