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In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

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Question: In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the third angle?

Options:

  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 110 degrees

Correct Answer: 90 degrees

Solution: 

The sum of the angles in a triangle is always 180 degrees. Therefore, the third angle = 180 - (45 + 55) = 180 - 100 = 80 degrees.

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure

Practice Questions

Q1
In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the third angle?
  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 110 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles are 45 degrees and 55 degrees, what is the measure of the third angle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Add the two given angles together: 45 degrees + 55 degrees = 100 degrees.
  • Step 3: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 degrees - 100 degrees = 80 degrees.
  • Step 4: Conclude that the measure of the third angle is 80 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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