Question

Kite DCFE is inscribed in circle A shown below:

Answer 1

Answer:

133  degrees

Step-by-step explanation:

Given is a picture of a kite DCFE inscribed in circle A

The vertices of the kite D, C, E and F lie on the circle.

A is the centre.

Arc DEF = 266 degrees

This means the subtended angle of arc DEF at the centre = Angle DAF = 266

By theorem on circles, we have central angle of any arc is twice the angle subtended by the arc on the remaining part of the circumference

Hence

Angle DEF = 1/2 angle DAF

i.e. DEF =$\frac{266}{2} =133$

133 degrees

Answer 2

Check the pictures below.

the arcDEF is the intercepted arc.