Based on the definition of supplement and complement of an angle, the measure of the angle is calculated as: 33.
What is the Supplement and Complement of an Angle?
Let the angle be represented as x.
- Supplement of the angle (x) is: (180 - x)
- Complement of the angle (x) is: (90 - x)
Therefore, the equation that models the given statement would be:
5(90 - x) = 2(180 - x) - 9
Open the bracket
450 - 5x = 360 - 2x - 9
450 - 5x = 351 - 2x
450 - 351 = 5x - 2x
99 = 3x
99/3 = x
33 = x
x = 33
The angle is 33.
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