The measure of angle 1 is 4 times the measure of its supplement. what is the measure, in degrees, of angle 1 ?

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First thing that you need to know is what is a supplement angle:

The angle that, added to the first one, equals 180 degrees.

ie, if angle A = 87 degrees, then its supplement B = 93...

...therefore...

supplement = x
angle = 4x

180 = x + 4x

180 = 5x

x = 36

Angle = 144 degrees
Supplement = 36 degrees

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Check:

144+36 = 180
and
144/36 = 4...Show more