In triangle ABC, angle A - …
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Gaurav Seth 3 years, 6 months ago
Given :
In a triangle ABC :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
We have find values of all angle :
We know sum of all interior angle of triangle is 180 .
∠ A + ∠ B + ∠ C = 180 .. ( ii )
We have :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
Rewrite as :
∠ A = 33 + ∠ B
∠ C = ∠ B - 18
Now putting
33 + ∠ B + ∠ B + ∠ B - 18 = 180
3 ∠ B + 15 = 180
3 ∠ B = 165
∠ B = 55
Putting values of B in :
∠ A - ∠ B = 33
∠ B - ∠ C = 18
∠ A = 88
∠ C = 37 .
Answer:
∠ A = 88
∠ B = 55
∠ C = 37 .
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