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White raven [17]
3 years ago
14

The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larg

er angle.
Mathematics
1 answer:
USPshnik [31]3 years ago
3 0
You will need to know that the sum of "two complementary angles" is 90
therefore
Let x = one angle
then
90-x = second angle
.
Now, we construct our equation based on the sentence:
"The sum of the measures of two complementary angles exceeds the difference of their measures by 86°."
x + 90-x = x-(90-x)+86
90 = x-90+x+86
90 = 2x-90+86
90 = 2x-4
94 = 2x
47 degrees = x (first angle)
.
Second angle:
90-x = 90-47 = 43 degrees (second angle) hope it helps
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