Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle? (Hint: Let 180 – x represent the supplement and 90 – x represent the complement.)

1 answer

Twice the measure of the "supplement of an angle" is 39 degrees less than five times the "complement of the angle".

just translate it into "math"
2(180-x) = 5(90-x) - 39

solving for x , I got x=17

check: the supplement of 17 is 163
twice that 163 is 326
the complement of 17 is 73
5 times that complement is 365

by how much is 326 less than 365 ???
YEAH!