Question

Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.

If x represents the measure of the angle, then which of the following expressions would equal x?

90 - (0.5x - 18)

0.5(90 - x - 18)

0.5(90 - x) - 18

Answer 1

if y and x r complementary angle
x + y = 90
now the question says the angle we need is 18 degree less than the one half of the measure of its complement..
if the angle we need to find is x
then its compliment is "y"
so
x = 0.5 ( y - 18 )
but we know
x + y = 90
so..
y= 90 - x
which means
x = 0.5 ( 90 - x - 18)


hope this will help ya!! :)