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In triangle ABC, if angle A = 60° and angle B = 70°, what is the measure of angl

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Question: In triangle ABC, if angle A = 60° and angle B = 70°, what is the measure of angle C?

Options:

  1. 50°
  2. 60°
  3. 70°
  4. 80°

Correct Answer: 50°

Solution: 

The sum of angles in a triangle is 180°. Therefore, angle C = 180° - (60° + 70°) = 180° - 130° = 50°.

In triangle ABC, if angle A = 60° and angle B = 70°, what is the measure of angl

Practice Questions

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

Questions & Step-by-Step Solutions

In triangle ABC, if angle A = 60° and angle B = 70°, what is the measure of 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 = 60° and angle B = 70°.
  • Step 3: Add the measures of angle A and angle B together: 60° + 70° = 130°.
  • Step 4: Subtract the sum of angle A and angle B from 180° to find angle C: 180° - 130° = 50°.
  • Step 5: Conclude that the measure of angle C is 50°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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