Question

In a parrelagram wxyz = 60 what is angle z

Answer 1

In a parallelogram, angle Z is equal to angle W. The sum of the angles in a parallelogram is 360 degrees. Solving the equation, angle Z equals 60 degrees.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent. So, angle Z is equal to angle W.

Since the sum of the angles in a parallelogram is 360 degrees,

we can set up an equation: angle X + angle Y + angle Z + angle W = 360.

Given that angle X = 60 degrees (from the question), we can substitute the values: 60 + 60 + angle Z + angle Z = 360.

Simplifying, we get 120 + 2 * angle Z = 360.

Solving for angle Z, we subtract 120 from both sides and divide by 2: angle Z = (360 - 120) / 2 = 120 / 2 = 60 degrees.