Answer :
In a kite with equal opposite sides and angles, we find angle D by applying the angle sum property. Angle D is 127 degrees, confirming option D as correct.
The given quadrilateral is a kite where sides AB = AD and BC = CD , angle A = 36 degrees and angle C = 70 degrees.
We need to find the measure of angle D.
Now , we are given that the 2 pair of sides are equal and the quadrilateral is a kite then the opposite angles are going to be equal.
Now, angle B = angle D.
Now, by using angle sum property of a quadrilateral we can easily find the measure of angle D.
angle A + angle B + angle C + angle D = 360
36 + 2angle D + 70= 360 ( angle B = angle D )
2angleD + 106 = 360
2angleD = 360 - 106
2angleD = 254
angleD = 254/ 2
angle D = 127
So, the measure of angle D is going to be 127 degrees making option D the correct option.
The question probable may be:
Given quadrilateral is a kite find the measure of angle D.
A - 66 degrees
B - 88 degrees
C - 42 degrees
D - 127 degrees
F - 29 degrees
