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In a right triangle, if one of the angles is 30 degrees, what is the measure of

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Question: In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?

Options:

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

Correct Answer: 60 degrees

Solution: 

In a right triangle, the sum of the angles is 180 degrees. If one angle is 30 degrees and the right angle is 90 degrees, the other angle must be 60 degrees.

In a right triangle, if one of the angles is 30 degrees, what is the measure of

Practice Questions

Q1
In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In a right triangle, if one of the angles is 30 degrees, what is the measure of the other non-right angle?
  • Step 1: Understand that a right triangle has one angle that is 90 degrees.
  • Step 2: Know that the sum of all angles in any triangle is 180 degrees.
  • Step 3: Identify that one angle in the triangle is 30 degrees.
  • Step 4: Calculate the sum of the known angles: 30 degrees (the given angle) + 90 degrees (the right angle) = 120 degrees.
  • Step 5: Subtract the sum of the known angles from 180 degrees to find the measure of the other angle: 180 degrees - 120 degrees = 60 degrees.
  • Step 6: Conclude that the measure of the other non-right angle is 60 degrees.
  • Triangle Angle Sum – In any triangle, the sum of the interior angles is always 180 degrees.
  • Right Triangle Properties – In a right triangle, one angle is always 90 degrees, and the other two angles must sum to 90 degrees.
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