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 =[tex]\frac{266}{2} =133[/tex]
133 degrees
