SOLUTION: the sum of the measure of two angles is 160 degrees. one angle measures 8y and the other angle measures 7y - 50. find y and then find the measure of each angle. how do i solve this

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Question 1123060: the sum of the measure of two angles is 160 degrees. one angle measures 8y and the other angle measures 7y - 50. find y and then find the measure of each angle. how do i solve this?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the angles is 160 degrees.

angle 1 measures 8y

angle 2 measures 7y - 50

since the sum of the angles is 160, then:

8y + (7y - 50) = 160

simplify to get:

8y + 7y - 50 = 160

combine like terms to get:

15y - 50 = 160

add 50 to both sides of the equation to get:

15y = 210

solve for y to get:

y = 210 / 15 = 14

the first angle is 8y, therefore it is equal to 8 * 14 = 112.

the second angle is 7y - 50, therefore it is equal to 7 * 14 - 50 = 98 - 50 = 48.

the two angles are 112 and 48.

their sum is 160.

solution looks good.

solution is:

y = 14
angle 1 = 112
angle 2 = 48