Answer:
angle B = 127.5 degrees
angle D = 127.5 degrees
Step-by-step explanation:
The above figure is of a kite.
the non-vertex angles( I. e angle B and angle D) are congruent to each other in a kite.
Let angle B be x.
therefore, angle D is also x. ......(as they are congruent to each other)
The sum of all the angles in a quadrilateral is 360 degrees.
therefore,
65 + 40 + x + x = 360
105 + 2x = 360
2x = 360 - 105
2x = 255
x = 255/2
x = 127.5
therefore, angle B and Angle D are 127.5 degrees each.
