Q2 of 34 Page 113

In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

Given:

Let ∠A = 35° and ∠B = 90° (right angle)



As we know, using theorem (1), in any triangle, sum of the three interior angles is 180 °.


So,


∠A + ∠B + ∠ C = 180°


⇒ 35° + 90° + ∠ C = 180°


⇒ ∠ C = 180° - 35° - 90°


⇒ ∠ C = 55°


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2

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In a triangle ABC, if ∠A = 55° and ∠B = 40°, find ∠C.

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