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In a right triangle, if one angle is 30°, what is the measure of the other non-r

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

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 60°

Solution:

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

In a right triangle, if one angle is 30°, what is the measure of the other non-r

Practice Questions

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

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 30°, 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 total sum of all angles in any triangle is 180 degrees.
  • Step 3: Since one angle is 90 degrees (the right angle), subtract this from 180 degrees: 180° - 90° = 90°.
  • Step 4: You have another angle that is 30 degrees. Now, subtract this from the 90 degrees you found in Step 3: 90° - 30° = 60°.
  • Step 5: The measure of the other non-right angle is 60 degrees.
  • Triangle Angle Sum – The sum of the angles in any triangle is always 180°, and in a right triangle, one angle is always 90°.
  • Properties of Right Triangles – In a right triangle, if one angle is known, the other non-right angle can be easily calculated using the angle sum property.
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