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trapecia [35]
3 years ago
9

A

Mathematics
1 answer:
ozzi3 years ago
3 0

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°

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