An angle measures 114° more than the measure of its supplementary angle. What is the measure of each angle
2 answers:
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Answer:
Measure of side YX is 22 units.
Step-by-step explanation:
Since ΔVWZ ~ ΔXWY, their corresponding sides will be in the same ratio.
By substituting the values given in the picture in the ratio,
By cross multiplication,
2(3x - 9) = 3(x + 8)
6x - 18 = 3x + 24
(6x -18) + 18 = 3x + 24 + 18
6x - 3x = (3x + 42) - 3x
6x - 3x = 42
3x = 42
x =
x = 14
m(YX) = x + 8
= 14 + 8
= 22
Therefore, measure of side YX is 22 units.