Q1 of 34 Page 113

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

Given: ∠A = 55° and ∠B = 40


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


So,


∠A + ∠B + ∠ C = 180°


⇒ 55° + 40° + ∠ C = 180°


⇒ ∠ C = 180° - 55° - 40°


⇒ ∠ C = 85°


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