The measure of an angle is 50 degrees more than the measure of its supplement. What is the measure of the smaller angle?

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Answer 1 · 2017-05-05T16:27:15

The smaller angle measures #65^o#.

Supplementary angles are two angles whose measures add up to #180^o#.

According to the data given, the above two angles can be represented as #x# and #x+50#.

Hence:

#x+(x+50)=180#

Open the brackets and simplify.

#x+x+50=180#

#2x+50=180#

Subtract #50# from each side.

#2x=180-50#

#2x=130#

Divide both sides by #2#.

#x=130/2#

#x=65#