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In the figure shown below, AC is parallel to DE with transversal BF

Determine the values of x and y

PLEASE SHOW WORK FOR THIS!


x=_______
y=_______

In the figure shown below AC is parallel to DE with transversal BF Determine the values of x and y PLEASE SHOW WORK FOR THIS x y class=

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rose5656

Answer:

X = 142°

Y = 38°

Given - AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

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