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The question is in the picture below

The question is in the picture below-example-1
User BernhardS
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1 Answer

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17 votes

Answer:

Hope this helps

Explanation:

Sides -

As measure of opposite sides of a parrelelogram are equal -

4a + 10 = 6a

10 = 6a - 4a

10 = 2a

10/2 = a

5 = a

Therefore - WZ = 4 x 5 + 10 = 30

And as, WZ = XY (opposite sides are equal), XY = 30

I don't know how to find the length of ZY and WX

Angles -

As adjecent angles of a parrelelogram are sumplimetory, (b+15) + 2b = 180

So,

B+15 + 2b = 180

3b +15 = 180

3b = 180 - 15

3b = 165

B = 165 / 3

B = 55

Therefore, angle X = 55 + 15 = 70 (b+15)

And angle Y = 2 x 55 = 110 (2b)

And, angle W = angle Y (opposite angles of a parrelelogram are equal)

So, angle W = 110

And, angle Z = angle X (opposite angles of a parrelelogram are equal)

So, angle Z = 70

User Diewland
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