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In triangle ABC, if angle A = 40 degrees and angle B = 60 degrees, what is the m

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Question: In triangle ABC, if angle A = 40 degrees and angle B = 60 degrees, what is the measure of angle C?

Options:

  1. 80 degrees
  2. 100 degrees
  3. 120 degrees
  4. 140 degrees

Correct Answer: 80 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - 40 - 60 = 80 degrees.

In triangle ABC, if angle A = 40 degrees and angle B = 60 degrees, what is the m

Practice Questions

Q1
In triangle ABC, if angle A = 40 degrees and angle B = 60 degrees, what is the measure of angle C?
  1. 80 degrees
  2. 100 degrees
  3. 120 degrees
  4. 140 degrees

Questions & Step-by-Step Solutions

In triangle ABC, if angle A = 40 degrees and angle B = 60 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 in triangle ABC. Angle A is 40 degrees and angle B is 60 degrees.
  • Step 3: Add the measures of angle A and angle B together: 40 + 60 = 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 the measure of angle C is 80 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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