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In a triangle, if angle A is 50 degrees and angle B is 60 degrees, what is the m

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Question: In a triangle, if angle A is 50 degrees and angle B is 60 degrees, what is the measure of angle C?

Options:

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

Correct Answer: 70 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, angle C = 180 - (50 + 60) = 70 degrees.

In a triangle, if angle A is 50 degrees and angle B is 60 degrees, what is the m

Practice Questions

Q1
In a triangle, if angle A is 50 degrees and angle B is 60 degrees, what is the measure of angle C?
  1. 70 degrees
  2. 80 degrees
  3. 90 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

In a triangle, if angle A is 50 degrees and angle B is 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 measures of the known angles. Here, angle A is 50 degrees and angle B is 60 degrees.
  • Step 3: Add the measures of angle A and angle B together. So, 50 + 60 = 110 degrees.
  • Step 4: Subtract the sum of angles A and B from 180 degrees to find angle C. So, 180 - 110 = 70 degrees.
  • Step 5: Conclude that angle C measures 70 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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