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In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle

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Question: In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle O?

Options:

  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Correct Answer: 90 degrees

Solution: 

Angle O = 180 - (angle M + angle N) = 180 - (45 + 45) = 90 degrees.

In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle

Practice Questions

Q1
In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle O?
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle O?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the given angles in triangle MNO. Angle M is 45 degrees and angle N is 45 degrees.
  • Step 3: Add the measures of angle M and angle N together: 45 + 45 = 90 degrees.
  • Step 4: Subtract the sum of angle M and angle N from 180 degrees to find angle O: 180 - 90 = 90 degrees.
  • Step 5: Conclude that angle O is 90 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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