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If two angles of a triangle are 45° and 55°, what is the measure of the third an

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Question: If two angles of a triangle are 45° and 55°, what is the measure of the third angle?

Options:

  1. 80°
  2. 90°
  3. 100°
  4. 70°

Correct Answer: 80°

Solution: 

Sum of angles in a triangle = 180°. Third angle = 180° - (45° + 55°) = 80°.

If two angles of a triangle are 45° and 55°, what is the measure of the third an

Practice Questions

Q1
If two angles of a triangle are 45° and 55°, what is the measure of the third angle?
  1. 80°
  2. 90°
  3. 100°
  4. 70°

Questions & Step-by-Step Solutions

If two angles of a triangle are 45° and 55°, 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: Add the two given angles together: 45° + 55°.
  • Step 3: Calculate the sum: 45° + 55° = 100°.
  • Step 4: Subtract the sum of the two angles from 180° to find the third angle: 180° - 100°.
  • Step 5: Calculate the result: 180° - 100° = 80°.
  • Step 6: Conclude that the measure of the third angle is 80°.
  • Triangle Angle Sum – The sum of the interior angles of a triangle is always 180°.
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