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

If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)

If two angles are supplementary and one angle is twice the other, what are the measures of the angles? (2022)

Step 1: Understand that supplementary angles add up to 180 degrees.
Step 2: Let the smaller angle be represented as 'x'.
Step 3: Since one angle is twice the other, the larger angle can be represented as '2x'.
Step 4: Write the equation for supplementary angles: x + 2x = 180 degrees.
Step 5: Combine like terms: 3x = 180 degrees.
Step 6: Solve for x by dividing both sides by 3: x = 60 degrees.
Step 7: Find the larger angle by calculating 2x: 2 * 60 = 120 degrees.
Step 8: The two angles are 60 degrees and 120 degrees.
Step 9: Check if these angles are in the options provided. If not, verify the problem statement.

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