How large is an angle whose supplement is three times its complement?

1 Answer
Jun 11, 2018

its x=45 or 45 degrees

Explanation:

So to write this down in an equation it would be #y=3z#
and #y=180 - x# and #z=90-x #

x is the unknown angle in question

and y is its suppliment while z is its compliment

soooooooo write it #y=3z# and ya get

now lets simplify this down a tad

#180-x=3(90-x)#
#180-x=270-3x#
#-x+3x=270-180#

#2x=90#
#x=45#