in parralleloggran WXYX m/_Y = 65 What are the measurea of /_W , /_X, and /_Z in degrees?? /_= angle

In any parallelogram , opposite angles are equal,

and adjacent angles add up to 180°

so .....

SOFIA HAS A PLATE THAT HAS 4 EQUAL SIDES, 2 PAIRS OF PARALLEL SIDES, AND NO RIGHT ANGLES. WHICH QUADRILATERAL IS IT?

To find the measures of angles W, X, and Z in a parallelogram WXYZ, we need to use the properties of parallelograms.

1. Angle Y: Given that angle Y measures 65 degrees, we know that angle Z (opposite angle Y) will also measure 65 degrees. This is a property of parallelograms where opposite angles are congruent.

2. Angle W: Since W and X are consecutive angles in the parallelogram, we can use the fact that the sum of consecutive interior angles in a parallelogram is 180 degrees. Thus, the measure of angle W is 180 - 65 = 115 degrees.

3. Angle X: Since we found the measure of angle W, we can use the fact that opposite angles in a parallelogram are congruent. Therefore, angle X will also measure 115 degrees.

So, the measures of angles W, X, and Z in degrees are:
Angle W = 115 degrees
Angle X = 115 degrees
Angle Z = 65 degrees