To solve for supplementary angles, remember that their sum is always 180 degrees. Here's a breakdown of the steps:
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Identify the angles: Determine the two angles that are stated to be supplementary.
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Set up the equation: Write an equation where the sum of the two angles equals 180 degrees. If the angles are 'a' and 'b', the equation will be: a + b = 180°
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Substitute known values: If you know the measure of one of the angles, substitute that value into the equation.
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Solve for the unknown: Subtract the known angle from both sides of the equation to isolate the unknown angle.
Example:
Let's say angle 'x' and an angle measuring 60 degrees are supplementary. To find the measure of angle 'x':
- Identify the angles: We have angle 'x' and a 60-degree angle.
- Set up the equation: x + 60° = 180°
- Substitute known values: The equation remains x + 60° = 180°
- Solve for the unknown: Subtract 60° from both sides: x = 180° - 60° Therefore, x = 120°
In summary: Supplementary angles add up to 180 degrees. To find an unknown supplementary angle, subtract the known angle from 180 degrees.
