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) (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
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