98.3k views
4 votes
The sum of the measures of two complementary angles exceeds the difference of their measures by 86. Find the measure of the larger angle.

1 Answer

3 votes
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
User CptAJ
by
9.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories