SOLUTION: find the measure of an angle whose supplement is 45 degrees less than 4 times its complement.
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Geometry: Angles, complementary, supplementary angles
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Question 632831
:
find the measure of an angle whose supplement is 45 degrees less than 4 times its complement.
Answer by
mananth(12270)
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Let the angle be x
supplement of angle = 180-x
Complement of angle = 90-x
4 times= 4(90-x)
4(90-x)-(180-x)=45
360-4x-180+x=45
135=3x
/3
x= 45
measure of angle = 45 deg