Question

You cut out a piece of fabric in the shape of a kite so that the congruent angles of the kite are each

100°. Of the remaining two angles, one is 4 times larger than the other. What is the measure of the
largest angle in the kite?

Answer 1

Let x be the measure of the smaller angle.

The larger angle is 4x.

The sum of the angles in a kite is 360 degrees.

So, 100 + 100 + x + 4x = 360

6x = 160

x = 26.67

The larger angle is 4x = 106.67 degrees.

So the answer is 106.67