In a triangle ABC, ∠B = 90°, ∠C = 45°, ∠A=?

45°

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50°

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55°

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65°

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Solution

The correct option is A 45°
Given:
∠B = 90°.
Using angle sum properties of triangles.
We know,
The sum of ∠A, ∠B and ∠C of a triangle ABC equals to 180°.
i.e,
∠A + ∠B + ∠C = 180°.
∠A + 90° + 45° = 180°
∠A =180°- 135°
∠A = 45°

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