Answered

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The measure of the supplement of an angle is 60° less than four times the measure of the complement of the angle. Find the measure of the angle.

Sagot :

Answer:

140° and 50°

Step-by-step explanation:

The supplement of the angle (180 - x)

The complement of the angle = (90 - x)

(180 -x) = 4(90-x) - 60

180 - x = 360 -4x - 60

180 -x  = 300 - 4x

180 - x + 4x = 300

 180 + 3x = 300

     3x = 120

      x = 40

   

The supplement (180 - x) =  180 - 40 = 140°

The complement (90 - x) =  90 - 40 = 50°

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