Using the definition of supplementary angles, the value of x in the given diagram is: 45.
What are Supplementary Angles?
Supplementary angles equals 180 degrees when added together.
(2x + 40)° and (3x - 85)° are supplementary angles. Therefore:
(2x + 40) + (3x - 85) = 180
Solve for x
2x + 40 + 3x - 85 = 180
Add like terms
5x - 45 = 180
5x = 180 + 45
5x = 225
x = 225/5
x = 45
The value of x is: 45.
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