What is the measure of an angle whose measure is 50 more than the measure of its complement?

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Answer 1 · 2016-12-10T13:42:35

#70^o#

Two angles that add to #90^o# are called complimentary.

We have two angles, #x, (90-x)#. We are told that #x# is #50^o# more than its compliment, so we can write:

#x=(90-x)+50#

#x=140-x#

#2x=140#

#x=70^o#

Making its compliment #20^o#.