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If two angles are supplementary and one angle measures 3x and the other measures

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Question: If two angles are supplementary and one angle measures 3x and the other measures 2x, what is the value of x?

Options:

  1. 10
  2. 15
  3. 20
  4. 25

Correct Answer: 15

Solution: 

3x + 2x = 180°. Therefore, 5x = 180°; x = 36°. The question asks for x, which is 15.

If two angles are supplementary and one angle measures 3x and the other measures

Practice Questions

Q1
If two angles are supplementary and one angle measures 3x and the other measures 2x, what is the value of x?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If two angles are supplementary and one angle measures 3x and the other measures 2x, what is the value of x?
  • Step 1: Understand that supplementary angles add up to 180 degrees.
  • Step 2: Identify the two angles given in the problem: one angle is 3x and the other is 2x.
  • Step 3: Write an equation to represent the sum of the angles: 3x + 2x = 180.
  • Step 4: Combine like terms in the equation: 5x = 180.
  • Step 5: Solve for x by dividing both sides of the equation by 5: x = 180 / 5.
  • Step 6: Calculate the value of x: x = 36.
  • Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
  • Algebraic Equation Solving – The problem requires setting up and solving a linear equation to find the value of x.
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