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In triangle STU, if angle S = 30 degrees and angle T = 60 degrees, what is the m

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Question: In triangle STU, if angle S = 30 degrees and angle T = 60 degrees, what is the measure of angle U?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 90 degrees

Solution: 

The sum of angles in a triangle is 180 degrees. Therefore, angle U = 180 - (30 + 60) = 90 degrees.

In triangle STU, if angle S = 30 degrees and angle T = 60 degrees, what is the m

Practice Questions

Q1
In triangle STU, if angle S = 30 degrees and angle T = 60 degrees, what is the measure of angle U?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

In triangle STU, if angle S = 30 degrees and angle T = 60 degrees, what is the measure of angle U?
  • Step 1: Understand that the sum of all angles in a triangle is always 180 degrees.
  • Step 2: Identify the given angles in triangle STU: angle S = 30 degrees and angle T = 60 degrees.
  • Step 3: Add the measures of angle S and angle T together: 30 + 60 = 90 degrees.
  • Step 4: Subtract the sum of angle S and angle T from 180 degrees to find angle U: 180 - 90 = 90 degrees.
  • Step 5: Conclude that angle U measures 90 degrees.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
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