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In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the m

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Question: In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the measure of angle C?

Options:

  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 70 degrees

Correct Answer: 80 degrees

Solution: 

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

In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the m

Practice Questions

Q1
In triangle ABC, if angle A = 45 degrees and angle B = 55 degrees, what is the measure of angle C?
  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 70 degrees

Questions & Step-by-Step Solutions

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