Question

A

B
6
D
C
E
F
5. What is the area of quadrilateral DCFE?
(A) 14
(B) 18
(C) 24
(D) 32
(E 36

Answer 1

m<DEF = 47°

Explanation:

Given:

m(DEF) = 266°

Required:

m<DEF

Solution:

m<DCF = ½(m(DEF)) (Inscribed angle theorem)

Substitute

m<DCF = ½(266°)

m<DCF = 133°

Opposite angles in an inscribed quadrilateral are supplementary.

Therefore,

m<DEF = 180° - m<DCF

m<DEF = 180° - 133°

m<DEF = 47°