Use an algebraic equation to find the measures of the two angles.

Question

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement.

The measure of the angle is

nineteen

times greater than its supplement.

Answer 1

Let the angle be x degrees. Then its complement is 180-x degrees (Complement angle is defined as the angle, when added to the original angle, adds up to 180 degrees)

We are also told that the complement is 19 times the original angle.x

Therefore, 180-x = 19x

Adding x on both sides, 180-x+x = 19x+x

or 180 = 20x

Dividing each side by 20,

180/20 = 20x/20 = x

Therefore x = 9 degree

and we given that its complement is 19 times the value = 19*9 = 171 degree

(Check: 9 + 171 = 180).

Answer 2

The algebraic equation that you need to solve for x, the supplement angle is

19(180-x) = x where

An easier way is to let x be the angle you are talking about:

19x = 180-x

Either way you obtain the angles x and 180-x (9, 171)

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