WXYZ is a kite. Angle WXY has a measure of 92 degrees and angle ZWX has a measure of 110 degrees. Find the measure of angle ZYW
if FK =5 0and FG =13 find KJ
WXY + WZY = 360-2*110 = 140
so WZY = 140-92 = 48
Now WZY is an isosceles triangle, so ZYW = (180-48)/2 = 66
To find the measure of angle ZYW, we can use the fact that the sum of the angles in a kite is always equal to 360 degrees.
In a kite, opposite angles are congruent. Therefore, angles WXY and ZYW are congruent.
We know that angle WXY has a measure of 92 degrees.
To find the measure of ZYW, we need to subtract the sum of the angles WXY and ZWX from 360 degrees.
360 degrees - (92 degrees + 110 degrees) = 360 degrees - 202 degrees = 158 degrees.
Therefore, the measure of angle ZYW is 158 degrees.