Based on the definition of supplementary angles:
Algebraic equation: A. x + (1/2x + 3) = 180
The measure of the smaller angle is: 62°
The measure of the larger angle is: 118°.
What are Supplementary Angles?
The sum of the two angles that are supplement of each other is equal to 180 degrees, hence they are called supplementary angles.
One of the angles = x
The second angle = 1/2x + 3
Since they are supplementary angles, we will have the following algebraic equation:
x + (1/2x + 3) = 180
Solve for x
x + 1/2x + 3 = 180
3/2x = 180 - 3
3/2x = 177
2/3(3/2x) = 2/3(177)
x = 118°
The second angle = 180 - 118 = 62°
Therefore, based on the definition of supplementary angles, we have the following:
Algebraic equation: A. x + (1/2x + 3) = 180
The measure of the smaller angle is: 62°
The measure of the larger angle is: 118°.
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