Answer:
m<DEF = 47°
Step-by-step 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°
