My Learning Cart
?
Categories
Account

If two angles are complementary and one angle is twice the other, what are the m

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If two angles are complementary and one angle is twice the other, what are the measures of the angles?

Options:

  1. 30 degrees and 60 degrees
  2. 20 degrees and 70 degrees
  3. 45 degrees and 45 degrees
  4. 10 degrees and 80 degrees

Correct Answer: 30 degrees and 60 degrees

Solution: 

Let the smaller angle be x. Then the larger angle is 2x. The equation x + 2x = 90 gives x = 30 degrees and 2x = 60 degrees.

If two angles are complementary and one angle is twice the other, what are the m

Practice Questions

Q1
If two angles are complementary and one angle is twice the other, what are the measures of the angles?
  1. 30 degrees and 60 degrees
  2. 20 degrees and 70 degrees
  3. 45 degrees and 45 degrees
  4. 10 degrees and 80 degrees

Questions & Step-by-Step Solutions

If two angles are complementary and one angle is twice the other, what are the measures of the angles?
  • Step 1: Understand that complementary angles add up to 90 degrees.
  • Step 2: Let the smaller angle be represented as 'x'.
  • Step 3: Since one angle is twice the other, represent the larger angle as '2x'.
  • Step 4: Write the equation for the sum of the angles: x + 2x = 90.
  • Step 5: Combine like terms in the equation: 3x = 90.
  • Step 6: Solve for 'x' by dividing both sides by 3: x = 30 degrees.
  • Step 7: Find the larger angle by calculating 2x: 2x = 2 * 30 = 60 degrees.
  • Step 8: Conclude that the measures of the angles are 30 degrees and 60 degrees.
  • Complementary Angles – Two angles are complementary if their measures add up to 90 degrees.
  • Algebraic Representation – Using variables to represent unknown quantities and forming equations based on relationships.
  • Solving Linear Equations – Finding the value of a variable that satisfies an equation.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks