The measure of an angle exceeds three times the measure of its supplement by 20 deg. Find its measure. (a) 90 deg
(b) 140 deg.
(c) 110 deg.
(d) 60 deg.

Step-by-step explanation:

An angle and it's supplement add to 180 degrees:  A + As = 180.

The supplement of an angle As = 180-A

A = 3As +20          substitute 180-A in place of As

A = 3(180-A)+20  distribute 3 through the parenthesis

A = 540-3A+20     add 3A to both sides

4A = 560              divide both sides by 4

A = 560/4

A = 140 degrees

Check

As = 180-140 = 40   the supplemental angle is 40 degrees

A = 3As+20

140 = 3(40)+20

140 = 140

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