Five times the complement of an angle less twice the angle's supplement is 450. How do you find the the measure of the supplement?

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Answer 1 · 2017-08-20T14:35:36

Please Check the Problem.

Suppose that, the reqd. measure of the angle is #x.#

Then, its Complement measures #(90-x),# whereas, the

Supplement, #(180-x).#

By what is given, we have,

# 5(90-x)-2(180-x)=450.#

#:. cancel450-5x-360+2x=cancel450.#

#:. -3x=360, or, x=-120,# which is not possible, as #x # can

not be #-ve.#