Mathematics
Angles Measures Using Algebra

Question Description

Two times the complement of an angle is 23 less than the supplement of the angle. Find the supplement of the angle

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Final Answer

Thank you for the opportunity to help you with your question!

Two angles are said to be complementary angles  if they add up to 90 degrees and  are said  to supplemetary   if they angle add up to 180 degrees.

let the angle be x

its complement is 90 - x  and its supplement  is 180 - x

hence 2(90-x) is 23 less than (180 - x)

so

 (180 - x) - 23 = 2(90-x)

180 - x - 23 = 180 - 2x

157 - x = 180 - 2x

157- 180 = - 2x + x

- 23 = - x

x = 23

so its supplement is 157 degrees.




Please let me know if you need any clarification. I'm always happy to answer your questions.

Mayweather (69)
UT Austin

Anonymous
Very useful material for studying!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4