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If a triangle has angles measuring 50 degrees and 60 degrees, what is the measur

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Question: If 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: 70 degrees

Solution:

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

If a triangle has angles measuring 50 degrees and 60 degrees, what is the measur

Practice Questions

Q1
If 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

If 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: Add the two given angles together: 50 degrees + 60 degrees = 110 degrees.
  • Step 3: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 degrees - 110 degrees = 70 degrees.
  • Step 4: 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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