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

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Answer 1 · 2015-12-18T04:02:57

#mangleB=(88-5x)˚#

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#.