You can put this solution on YOUR website! .
An angle measures 115.8° more than the measure of its supplementary angle.
What is the measure of each angle?
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Let x be the measure of the greater / (larger) angle ("an angle").
Then its supplement measure is (x-115.8) degrees.
Since the angles are supplementary,
x + (x-115.8) = 180 degrees.
Simplify and find x
2x = 180 + 115.8 = 295.8
x = 295.8/2 = 147.9 degrees.
ANSWER. The angles are 147.9 degrees and 180-147.9 = 32.1 degrees.
You can put this solution on YOUR website! Let x = the measure of the smaller angle
x + 115.8 = the measure of the larger angle
Supplementary angles add up to 180.
So we have,
x + x + 115.8 = 180
2x = 180 - 115.8
x = 64.2/2
x = 32.1 (smaller angle)
For the larger angle, we have
x + 115.8 = 32.1 + 115.8 = 147.9
Answer:
Smaller angle measures 32.1 degrees.
Larger angle measures 147.9 degrees.
Solved.
