#/_A# and #/_B# are complementary. #m/_A = (5x+2)°#. What is #m/_B#?

1 Answer
Dec 18, 2015

#mangleB=(88-5x)˚#

Explanation:

Complementary angles have a sum of #90˚#.

Thus,

#mangleA+mangleB=90˚#

Since #mangleA=(5x+2)˚#, we can replace #mangleA# in the previous equation with #(5x+2)˚#.

#(5x+2)˚+mangleB=90˚#

#(5x)˚+mangleB=88˚#

#mangleB=(88-5x)˚#

This will be true for any value of #x#.