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Question
If two acute angles of a right triangle are equal, then each acute is equal to
Options
30°
45°
60°
90°
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Solution
In the given problem, we have a right angled triangle and the other two angles are equal.
So, In ΔABC
∠A = 90°
∠B = ∠C
Now, using the angle sum property of the triangle, in ΔABC, we get,
∠A + ∠B + ∠C = 180°
90° + 2∠B = 180° (∠B = ∠C)
2∠B= 180° - 90°
`∠B = (90°)/2`
∠B = 45°
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