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Q.

ABC is a right triangle in which ∠A = 90° and AB = AC, then what are the value of ∠B and ∠C?


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a

45° and 45°

b

41° and 45°

c

45° and 25°

d

45° and 55° 

answer is A.

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Detailed Solution

Given, ABC is a right triangle in which ∠A = 90° and AB = AC.
∠C = ∠B since AB = AC.
Now by using the angle sum or property, ∠C + ∠B + ∠A = 180°.
⇒ 2∠B + 90° = 180°
⇒ ∠B = 45°
⇒ ∠C = 45°
Hence, option 1 is correct.
 
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ABC is a right triangle in which ∠A = 90° and AB = AC, then what are the value of ∠B and ∠C?