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A triangle has angles measuring 50 degrees and 60 degrees. What is the measure o

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Question: A triangle has angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?

Options:

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

Correct Answer: 80 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, the third angle is 180 - 50 - 60 = 70 degrees.

A triangle has angles measuring 50 degrees and 60 degrees. What is the measure o

Practice Questions

Q1
A triangle has angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?
  1. 70 degrees
  2. 80 degrees
  3. 90 degrees
  4. 100 degrees

Questions & Step-by-Step Solutions

A triangle has angles measuring 50 degrees and 60 degrees. What is the measure of the third angle?
  • Step 1: Understand that the total sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the angles you already have. In this case, they are 50 degrees and 60 degrees.
  • Step 3: Add the two known angles together: 50 + 60 = 110 degrees.
  • Step 4: Subtract the sum of the known angles from 180 degrees to find the third angle: 180 - 110 = 70 degrees.
  • Step 5: Conclude that the measure of the third angle is 70 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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