The figure shows parallelogram WXYZ with its diagonal XY drawn. If angle 1 = 30 and angle 3 is 70, what are the measures of angle W, angle WXZ, angle Z, and angle WYZ

angle W=80

angle WXZ=100

angle Z=80

and angle WYZ=100

Step-by-step explanation:

First we can find the measure of angle W since WZX is a triangle and we know the angles of a triangle =180

<1 + <3 + W =180

30 + 70 + W = 180

100 + W = 180

W = 80 degrees

Since this is a parallelogram

We know that <1 = <4 = 30 since they are alternate interior angles

And <2 = <3 = 70 since they are alternate interior angles

We know WXZ = <1 + <2  = 30 +70 = 100

We know WYZ = <3 + <4  = 70 +30 = 100

We also know that opposite angles in a parallelogram are equal so <W = <Z = 80

W=80; WXZ=100; Z=80; WYZ=100

Step-by-step explanation:

The inside of the parallelogram is 360 using the equation n - 2 x 180 where n is the number of sides. So we know opposite sides in a parallelogram are equal and if a side is cut then 1 would be equal to 4 and 2 would be equal to 3 and so X and Y are 100(70+30) and then we know that the inside of the parallelogram is 360 so you subtract 200 for both sides to 360 and you get 160 and then divide it by 2 because the remaining angles have to be equal because their opposites and you get 80.

step-by-step explanation:

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