Question

Kite DCFE is inscribed in circle A shown below: (the picture)

If the measure of arc DEF is 266°, what is the measure of ∠DEF? Only enter numeric answer. Do not enter any units.

Answer 1

Check the picture below.

let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.