Question

The measures of two supplementary angles are (13x+30°) and (5x+6°), then find the measure of each angle.

Answer 1

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YOUR ANSWER:

Supplementary angles are angles which have their sum equal to 180°.

So,
13x + 30° + 5x + 6° = 180°
18x + 36° = 180°
18x = 180° - 36°
x = 144°/18
x = 8°

So:
x = 8°
13x + 30° = 134°
5x + 6° = 46°

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Answer 2

given 

two angles are (13x+30),(5x+6)

two angles are supplementry

then sum of angles is 180

hence 13x+30+5x+6=180

            18x =180-36
      
              18x=144

                    x=8

anglaes are   (13(8)+30)   ,    (5(8)+6)

                         (134)     ,       (46)

angles are   134 ,46