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notsponge [240]
3 years ago
14

Circle C is shown. Line segments E C and C D are radii. Lines are drawn from points E and D to point F on the other side of the

circle. Arc E D measures 95 degrees. What is the measure of angle EFD? 37.5° 45° 47.5° 55°

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

47.5^o

Step-by-step explanation:

If sketch of the circle and its points is shown as in the accompanying image, notice that the triangle formed FEC is an isosceles triangle, of which we know the angle at the center (angle ECF) to measure 180^o-95^o=85^o.

Since the other two remaining angles must be equal to each other (they are <em>opposite</em> to sides of the same length - radii CE and CF of the circle), we have that the sum of all must render 180^o:

CFE +FEC+85^o=180^o\\2*CFE+85^o=180^o\\2*CFE=180^o-85^o\\2*CFE=95^o\\CFE=\frac{95^o}{2} \\CFE=47.5^o

natulia [17]3 years ago
6 0

Answer:

47.5

Step-by-step explanation:

.

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4 years ago
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3 years ago
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Ipatiy [6.2K]

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13 or 13.125 you have to look at your notes to see which it is. Personally I would take 13. Try that first.

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Be careful how you interpret this question. It reads like this.

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In other words, the 8 and 35 females goes together.

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