Question #f9b16

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Answer 1 · 2017-05-05T03:56:31

The measure of the complementary angle is #16^o#.

Complementary angles are two angles whose sum is #90^o#.

From the data given, we can represent the complementary angle as #x# and the angle as #(5x-6)#.

Hence:

#x+(5x-6)=90#

Open the brackets and simplify.

#x+5x-6=90#

#6x-6=90#

Add #6# to both sides.

#6x=96#

Divide both sides by #6#.

#x=16#

The measure of the complementary angle is #16^o#.