If four times the supplement of an angle is added to eight times the angle's complement, the sum is equivalent to three straight angles. Find the measure of teh angle that is supplmentary to the complement.

Question

If four times the supplement of an angle is added to eight times the angle&#039;s complement, the sum is equivalent to three straight angles. Find the measure of teh angle that is supplmentary to the complement.

Payton Mcbride · Accepted Answer

The supplement of an angle is 180 minus the angle;The complement of the angle is 80 minus the angle;and a straight angle is 180 degrees.Here&#039;s the formula you would use:4(180-A) + 8(90-A) = 3(180)From there, you just solve for A.720 - 4A + 720 - 8A = 5401440 - 12A = 540-12A = -900A = 75 degrees

garkochenvz · Accepted Answer

This geometry problem has an algebraic aspect to it.hopefully youknow that supplement angles add up to 180 degrees and complementsadd up to 90 degrees and straight angles are 180 degrees.so...3(straight angles)=4(supplements)+8(complements)Let   θ be the angle.  3  (  180  )  =  4  (  180  −  θ  )  +  8  (  90  −  θ  )  540  =  720  −  4  θ  +  720  −  8  θ  12  θ  =  900  θ  =  75 degrees!

If four times the supplement of an angle is added to eight times the angle's complement, the sum is equivalent to three straight angles. Find the measure of teh angle that is supplmentary to the complement.

Answered question

Answer & Explanation

New Questions in High school geometry