celestinacoronado35
Answered

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Kite DCFE is inscribed in circle A shown below:

Kite DCFE is inscribed in circle A

If the measure of arc DEF is 266°, what is the measure of ∠DEF? (5 points)

Kite DCFE Is Inscribed In Circle A Shown Below Kite DCFE Is Inscribed In Circle A If The Measure Of Arc DEF Is 266 What Is The Measure Of DEF 5 Points class=

Sagot :

akposevictor

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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