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In triangle ABC, if angle A = 45° and angle B = 45°, what is angle C?

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Question: In triangle ABC, if angle A = 45° and angle B = 45°, what is angle C?

Options:

  1. 45°
  2. 60°
  3. 75°
  4. 90°

Correct Answer: 90°

Solution: 

Angle C = 180° - (angle A + angle B) = 180° - (45° + 45°) = 90°.

In triangle ABC, if angle A = 45° and angle B = 45°, what is angle C?

Practice Questions

Q1
In triangle ABC, if angle A = 45° and angle B = 45°, what is angle C?
  1. 45°
  2. 60°
  3. 75°
  4. 90°

Questions & Step-by-Step Solutions

In triangle ABC, if angle A = 45° and angle B = 45°, what is angle C?
  • Step 1: Understand that the sum of all angles in a triangle is always 180°.
  • Step 2: Identify the given angles: angle A = 45° and angle B = 45°.
  • Step 3: Add angle A and angle B together: 45° + 45° = 90°.
  • Step 4: Subtract the sum of angle A and angle B from 180° to find angle C: 180° - 90° = 90°.
  • Step 5: Conclude that angle C = 90°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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