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If two angles of triangle ABC are 45 degrees and 55 degrees, what is the third a

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Question: If two angles of triangle ABC are 45 degrees and 55 degrees, what is the third angle?

Options:

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

Correct Answer: 90 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, the third angle = 180 - (45 + 55) = 90 degrees.

If two angles of triangle ABC are 45 degrees and 55 degrees, what is the third a

Practice Questions

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

Questions & Step-by-Step Solutions

If two angles of triangle ABC are 45 degrees and 55 degrees, what is the third angle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the two given angles in triangle ABC, which are 45 degrees and 55 degrees.
  • Step 3: Add the two angles together: 45 + 55 = 100 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 100 = 80 degrees.
  • Step 5: Conclude that the third angle in triangle ABC is 80 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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