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If two angles of a triangle are 50 degrees and 70 degrees, what is the length of

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Question: If two angles of a triangle are 50 degrees and 70 degrees, what is the length of the third angle?

Options:

  1. 30 degrees
  2. 50 degrees
  3. 60 degrees
  4. 70 degrees

Correct Answer: 30 degrees

Solution: 

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

If two angles of a triangle are 50 degrees and 70 degrees, what is the length of

Practice Questions

Q1
If two angles of a triangle are 50 degrees and 70 degrees, what is the length of the third angle?
  1. 30 degrees
  2. 50 degrees
  3. 60 degrees
  4. 70 degrees

Questions & Step-by-Step Solutions

If two angles of a triangle are 50 degrees and 70 degrees, what is the length of the third angle?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Add the two given angles together: 50 degrees + 70 degrees = 120 degrees.
  • Step 3: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 degrees - 120 degrees = 60 degrees.
  • Step 4: Conclude that the third angle is 60 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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