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In a triangle, if two angles measure 45 degrees each, what is the measure of the

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Question: In a triangle, if two angles measure 45 degrees each, what is the measure of the third angle?

Options:

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

Correct Answer: 90 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, the third angle is 180 - 45 - 45 = 90 degrees.

In a triangle, if two angles measure 45 degrees each, what is the measure of the

Practice Questions

Q1
In a triangle, if two angles measure 45 degrees each, what is the measure of the third angle?
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

In a triangle, if two angles measure 45 degrees each, 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 measures of the two given angles, which are both 45 degrees.
  • Step 3: Add the two angles together: 45 + 45 = 90 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the third angle: 180 - 90 = 90 degrees.
  • Step 5: Conclude that the measure of the third angle is 90 degrees.
  • Triangle Angle Sum – The sum of the interior angles of a triangle is always 180 degrees.
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