Question

wxyz is a kite. angle wxy has a measure of 133 degrees and angle zwx has a measure of 60 degrees. find the measure of angle zyw. angle zyw has a measure of degrees.

Explanation:

Step1: Recall sum of angles in a quadrilateral

The sum of the interior angles of a quadrilateral is 360°.

Step2: Identify known angles

We know that ∠WXY = 133° and ∠ZWX = 60°.

Step3: Let ∠ZYW=x and ∠ZYW is composed of two equal - angles in a kite

In a kite, the non - vertex angles are bisected by the diagonal. Let the two angles that make up ∠ZYW be equal.
Let the sum of the other two angles (the ones related to ∠ZYW) be 2y.
We have the equation: 133 + 60+2y=360.

Step4: Solve for 2y

First, simplify the left - hand side of the equation: 193+2y = 360.
Then subtract 193 from both sides: 2y=360 - 193.
2y = 167.

Answer:

167