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ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
- a)45°
- b)35°
- c)75°
- d)65°
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
ABC is a right angled triangle in which ∠A = 90° and AB = AC. ...
Given,
∠A = 90° and AB = AC
A/q,
AB = AC
⇒ ∠B = ∠C (Angles opposite to the equal sides are equal.)
Now,
∠A + ∠B + ∠C = 180° (Sum of the interior angles of the triangle.)
⇒ 90° + 2∠B = 180°
⇒ 2∠B = 90°
⇒ ∠B = 45°
Thus, ∠B = ∠C = 45°
∠A = 90° and AB = AC
A/q,
AB = AC
⇒ ∠B = ∠C (Angles opposite to the equal sides are equal.)
Now,
∠A + ∠B + ∠C = 180° (Sum of the interior angles of the triangle.)
⇒ 90° + 2∠B = 180°
⇒ 2∠B = 90°
⇒ ∠B = 45°
Thus, ∠B = ∠C = 45°
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ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.a)45°b)35°c)75°d)65°Correct answer is option 'A'. Can you explain this answer?
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