Question

The measure of an angle is nineteen times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

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Answer:

  171° (angle) and 9° (supplement)

Step-by-step explanation:

If 'a' represents the measure of the angle then ...

  a = 19(180 -a) . . . . . the angle is 19 times its supplement

  20a = 19(180) . . . . add 19a

  a = 19(9) . . . . . . . . divide by 20

  a = 171 . . . degrees (the angle)

  180-a = 9 . . . degrees (the supplement)