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find the values of x and y

Sagot :

From the given figure

Since every two opposite sides are parallel

AB // DC

AD // BC

Then the given quadrilateral is a parallelogram

ABCD is a parallelogram

From the properties of the parallelogram,

Every 2 opposite sides are equal in length, then

AB = DC

AB = x + 2, and DC = 13, then

x + 2 = 13

Subtract 2 from both sides to find x

x + 2 - 2 = 13 - 2

x = 11

Since the opposite angles in the parallelogram are equal in measures

Since

m

Since m

y = 70

The value of x is 11 and the value of y is 70