If two angles are supplementary and one angle is three times the other, what are

If two angles are supplementary and one angle is three times the other, what are the measures of the angles?

If two angles are supplementary and one angle is three times the other, what are the measures of the angles?

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 three times the other, represent the larger angle as '3x'.
Step 4: Write the equation for the sum of the angles: x + 3x = 180.
Step 5: Combine like terms in the equation: 4x = 180.
Step 6: Solve for x by dividing both sides by 4: x = 180 / 4.
Step 7: Calculate x: x = 45 degrees.
Step 8: Find the larger angle by calculating 3x: 3x = 3 * 45 = 135 degrees.
Step 9: Conclude that the two angles are 45 degrees and 135 degrees.

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