Angles #R# and #Z# are complementary. If #m/_R = 36°#, what is the measure of angle #Z#?

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Answer 1 · 2017-06-12T01:31:15

The #m/_Z# is #54^o#.

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

When we have the measure of one complementary angle, we subtract that measure from #90# to determine the measure of the other.

#R+Z=90#

#36+Z=90#

Subtract #36# from both sides.

#Z=90-36#

#Z=54#