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In a right triangle, if one of the non-right angles is 30 degrees, what is the m

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

Options:

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

Correct Answer: 60 degrees

Solution: 

In a right triangle, the sum of the angles is 180 degrees. Therefore, the other angle is 90 - 30 = 60 degrees.

In a right triangle, if one of the non-right angles is 30 degrees, what is the m

Practice Questions

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

Questions & Step-by-Step Solutions

In a right triangle, if one of the non-right 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: Since one angle is 90 degrees (the right angle) and another angle is 30 degrees, add these two angles together: 90 + 30 = 120 degrees.
  • Step 4: Subtract the sum of the two angles from 180 degrees to find the measure of the other non-right angle: 180 - 120 = 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 90 degrees, and the other two angles must sum to 90 degrees.
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