Question

Apply the properties of kites to solve real-world and mathematical problems. wxyz is a kite. if ∠wxy = (13x+24)⁰ , ∠wzy = 35⁰ , and ∠zyx = (13x+14)⁰ , find ∠zwx

Answer 1

In a kite, opposite angles are congruent. Therefore, angle ZWX can be determined by setting up an equation using the given angles XWY and ZYX. Similarly, angle ZWX can also be obtained by solving for x. However, in this specific case, there is no unique solution for the measure of angle ZWX.

Step-by-step explanation:

To find the measure of angle ZWX, we can use the property of kites that opposite angles are congruent. In this case, angle XWY and angle ZYX are opposite, so they have the same measure.

Therefore, we can set up the equation (13x+24) = (13x+14) to solve for x. Subtracting 13x from both sides, we get 24 = 14, which is not true for any value of x. Therefore, there is no unique solution for the measure of angle ZWX.