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In triangle ABC, angle A - angle B = 33° and angle B - angle C = 18° find is measure of each angle of triangle

Posted by Rishika S 11 5 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 2 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 .

1Thank You

ANSWER

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CBSE > Class 09 > Mathematics