SOLUTION: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees.
Algebra.Com
Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees.
Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If the sum of two angles adds up to 180°, then the angles are said to be supplementary.
.
If the sum of two angles adds up to 90°, then the angles are said to be complementary.
.
Let x = angle
supplement angle = 180-x
complement angle = 90-x
.
From:"sum of the measures of its complement and its supplement is 100 degrees" we get:
(180-x)+(90-x) = 100
180 -x + 90 -x = 100
270 -2x = 100
270 = 100 + 2x
170 = 2x
85 deg = x
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the angle
answer
check:
OK
RELATED QUESTIONS
find the measure of an angle such that the sum of the measures of its complement and its... (answered by josmiceli)
What is the measure of an angle such that the sum of the measures of its complement and... (answered by mananth)
Find the measure of an angle such that the difference between the measures of its... (answered by funmath)
find the measure of an angle such that the difference between the measures of its... (answered by ankor@dixie-net.com)
find the measure of an angle such that the sum of the measures of its complement and its... (answered by fcabanski)
Find the measure of an angle such that the sum of the measures of its complement and its... (answered by josgarithmetic)
find the measure of an angle such that the sum of the measures of its compliment and it... (answered by htmentor)
Find the measure of an angle such that the sum of the measures of its compliment and its... (answered by Earlsdon)
Find the measure of an angle such that the sum of the measures of its supplement and its... (answered by mananth)