Therealtrumpetboy
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WILL GIVE BRAINLYEST AND 50 POINTS!!!
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

WILL GIVE BRAINLYEST AND 50 POINTS 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 class=

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wegnerkolmp2741o

Answer:

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

Answer:

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.