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In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?

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Question: In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?

Options:

  1. 50 degrees
  2. 60 degrees
  3. 70 degrees
  4. 80 degrees

Correct Answer: 70 degrees

Solution:

The sum of angles in a triangle is 180°. Therefore, angle C = 180° - 50° - 60° = 70°.

In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?

Practice Questions

Q1
In triangle ABC, if angle A = 50° and angle B = 60°, what is angle C?
  1. 50 degrees
  2. 60 degrees
  3. 70 degrees
  4. 80 degrees

Questions & Step-by-Step Solutions

In triangle ABC, if angle A = 50° and angle B = 60°, 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 = 50° and angle B = 60°.
  • Step 3: Add angle A and angle B together: 50° + 60° = 110°.
  • Step 4: Subtract the sum of angle A and angle B from 180° to find angle C: 180° - 110° = 70°.
  • Step 5: Conclude that angle C = 70°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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