Question

Kite DCFE is inscribed in circle A shown below.


If the measure of arc DEF is 266°, what is the measure of ∡DEF?

Answer 1

do you recall that an angle on the rim of a circle is half the arclength?

Answer 2

So it'd be 133 degrees?

Answer 3

that would be the angle of C

we want the other part of the circle

recall that a circle is 360 around and you know 266 of it, so wahts left?

Answer 4

94 degrees?

Answer 5

94 is good, now half of that will be the angle of E

Answer 6

47?

Answer 7

47 is half of 94, yes

Answer 8

So the answer is 47?