Kite DCFE is inscribed in circle A shown below.
2 answers:
Answer:
∠DEF =56°
Step-by-step explanation:
We are given that arc DEF = 248°
So, arc DCF = 360°-248°
arc DCF = 112°
Now we are required to find the ∠DEF.
So, we will use Inscribed angle theorem.
Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
Intercepted arc = arc DCF = 112°
Inscribed angle = ∠DEF
⇒∠DEF =
⇒∠DEF =
⇒∠DEF =56°
Hence the measure of ∠DEF =56°
Answer:
DEF=
Step-by-step explanation:
We are given that a kite DCFE is inscribed in a circle A.
The measure of arc DEF=
We have to find the measure of angle DEF.
arc DCF=360-arcDEF=360-248=
Because complete angle =360 degrees
Inscribed angle theorem:It states that inscribed angle is equal to half of the measure of its intercepted arc.
Therefore, DEF=arcDCF
DEF=
Hence, the measure of angle DEF=56 degrees.
Answer:DEF=
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