If two angles are equal and their sum is 180 degrees, what is the measure of eac

Practice Questions

Q1
If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)
  1. 90 degrees
  2. 60 degrees
  3. 45 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

If two angles are equal and their sum is 180 degrees, what is the measure of each angle? (2022)
  • Step 1: Understand that we have two angles that are equal.
  • Step 2: Let the measure of each angle be represented as 'x'.
  • Step 3: Since the two angles are equal, we can say the first angle is 'x' and the second angle is also 'x'.
  • Step 4: According to the problem, the sum of these two angles is 180 degrees. So we can write the equation: x + x = 180.
  • Step 5: Simplify the equation: 2x = 180.
  • Step 6: To find the value of 'x', divide both sides of the equation by 2: x = 180 / 2.
  • Step 7: Calculate the division: x = 90.
  • Step 8: Therefore, each angle measures 90 degrees.
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