Final answer:
The measure of angle ZWY in kite WXYZ is 86 degrees. We calculated this by using the property that adjacent angles between congruent sides in a kite are supplementary, which means they add up to 180 degrees.
Step-by-step explanation:
In the given question, we need to find the measure of angle ZWY in kite WXYZ, given that angle WYX is 94 degrees and angle ZYX is 60 degrees. One property of kites in geometry is that their adjacent angles are supplementary if they are between two congruent sides. If we assume that WY and YZ are the congruent sides, then angle WYX and angle WYZ are supplementary.
To find the measure of angle ZWY, we can use this property. The sum of angle WYX and angle WYZ must be 180 degrees since they are supplementary:
- Angle WYX + Angle WYZ = 180 degrees
- 94 degrees + Angle WYZ = 180 degrees
- Angle WYZ = 180 degrees - 94 degrees
- Angle WYZ = 86 degrees
Therefore, the measure of angle ZWY, being the same as angle WYZ in the kite, is 86 degrees.