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If two angles of a triangle are 45 degrees and 55 degrees, what is the measure o

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Question: If two angles of a triangle 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. 70 degrees

Correct Answer: 80 degrees

Solution: 

Third angle = 180 - (45 + 55) = 80 degrees.

If two angles of a triangle are 45 degrees and 55 degrees, what is the measure o

Practice Questions

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

Questions & Step-by-Step Solutions

If two angles of a triangle 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.
  • Step 3: Calculate the sum: 45 + 55 = 100 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 100.
  • Step 5: Calculate the result: 180 - 100 = 80 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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