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If a triangle has angles of 30° and 60°, what is the measure of the third angle?

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Question: If a triangle has angles of 30° and 60°, what is the measure of the third angle?

Options:

  1. 90°
  2. 60°
  3. 30°
  4. 120°

Correct Answer: 90°

Solution: 

The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.

If a triangle has angles of 30° and 60°, what is the measure of the third angle?

Practice Questions

Q1
If a triangle has angles of 30° and 60°, what is the measure of the third angle?
  1. 90°
  2. 60°
  3. 30°
  4. 120°

Questions & Step-by-Step Solutions

If a triangle has angles of 30° and 60°, what is the measure of the third angle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180°.
  • Step 2: Identify the angles you have. In this case, they are 30° and 60°.
  • Step 3: Add the two known angles together: 30° + 60° = 90°.
  • Step 4: Subtract the sum of the known angles from 180° to find the third angle: 180° - 90° = 90°.
  • Step 5: Conclude that the measure of the third angle is 90°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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