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In a right triangle, if one angle is 45 degrees, what is the measure of the othe

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Question: In a right triangle, if one angle is 45 degrees, what is the measure of the other non-right angle? (2021)

Options:

  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 75 degrees

Correct Answer: 45 degrees

Exam Year: 2021

Solution: 

In a right triangle, the sum of the angles is 180 degrees. If one angle is 45 degrees and the right angle is 90 degrees, the other angle must be 180 - (90 + 45) = 45 degrees.

In a right triangle, if one angle is 45 degrees, what is the measure of the othe

Practice Questions

Q1
In a right triangle, if one angle is 45 degrees, what is the measure of the other non-right angle? (2021)
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 75 degrees

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 45 degrees, what is the measure of the other non-right angle? (2021)
  • Step 1: Understand that a right triangle has one angle that is 90 degrees.
  • Step 2: Know that the total sum of all angles in any triangle is 180 degrees.
  • Step 3: Identify the angles in the triangle: one angle is 90 degrees (the right angle) and another angle is 45 degrees.
  • Step 4: Add the known angles together: 90 degrees (right angle) + 45 degrees = 135 degrees.
  • Step 5: Subtract the sum of the known angles from 180 degrees to find the measure of the other angle: 180 - 135 = 45 degrees.
  • Step 6: Conclude that the measure of the other non-right angle is 45 degrees.
  • Triangle Angle Sum – The sum of the angles in any triangle is always 180 degrees.
  • Properties of Right Triangles – In a right triangle, one angle is always 90 degrees, and the other two angles must sum to 90 degrees.
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