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# Arrive @ your solution. The supplement of an angle measures 40 degrees more than twice its complement. Find?

find the measure of the angle.
Member since:
February 17, 2010
Total points:
147,320 (Level 7)

## Best Answer - Chosen by Voters

Two Angles are Supplementary if they add up to 180 degrees.

Two Angles are Complementary if they add up to 90 degrees (a Right Angle).

Let the angle be x

Supplement of the angle is (180 - x )

Complement of the angle is ( 90 - x )

So

180 - x = 2( 90 - x ) + 40

180 - x = 180 - 2x + 40

x = 40 ANSWER

supplement of 40 is 140
140 = 2 ( 90-40) + 40
100% 1 Vote

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### Other Answers (2)

• by Argent
Member since:
June 24, 2009
Total points:
48,346 (Level 7)
The supplement of an angle x is 180° - x; the complement is 90° - x.
Here, 180° - x = 40° + 2(90° - x), or
180° - x = 40° + 180° - 2x.
Subtract 180° from both sides and add 2x to both sides, giving
x = 40°.

check: Is 180° - 40° = 40° + 180° - 2(40°)?
140° = 220° - 80°: correct.
• by ?
Member since:
April 14, 2010
Total points:
103 (Level 1)
btw choose the below working cos it seems to be easier...

let supp be x and comp be y

x-40=2y ----(1)
90-y=180-x --(2)

from (2)

90-y=180-x

-y-90=-x

x=y+90 --------(3)

Sub (3) into (1)

y+90-40=2y
y+50=2y
y=50

ANGLE: 90-50 = 40

ANS: 40

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