SOLUTION: in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle
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-> SOLUTION: in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle
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Question 1022991: in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle
Picture: http://m.imgur.com/3yVpAr5 Answer by ikleyn(52866) (Show Source):
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in parallelogram wxyz, the measurment of angle X is 16 less than three times the measurement of angle Y. find the measure of each angle
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Your equations are
x = 3y - 16, (1) (from the condition)
x + y = 180. (2) (since the angles X and Y are supplementary, as the consequence angles of the parallelogram).
Substitute x = 3y - 16 (from (1) into (2). You will get a single equation for y
(3y - 16) + y = 180.
Simplify and solve:
4y = 180 + 16 = 196,
y = = 49.
Thus y = 49 degrees, x = 180 - y = 180 - 49 = 131 degrees.
