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03-08-2016
Mathematics

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Kite DCFE is inscribed in circle A shown below.

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

Kite DCFE is inscribed in circle A shown below If the measure of DEF is 266 what is the measure of DEF class=

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taskmasters taskmasters

08-08-2016

In the question it is already given that arc DEF is 266 degrees.From this information, we can say that
Arc DF = 360 - 266 degrees
= 94 degrees
We also know that
Inscribed angle = 1/2 of its arc
Then
Angle DEF = 1/2 * 94
= 47 degrees
From the above deduction, we can conclude that the measure of angle DEF is 47 degrees.

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