Circle C is shown. Secants A D and D J intersects at point D outside of the circle. Secant A D intersects the circle at point B and secant D J intersects the circle at point E. Angle D is 37 degrees and the measure of arc B E is 38 degrees. Secants A G and J G intersect at point G outside of the circle. Secant A G intersects the circle at point F and secant J G intersects the circle at point H. Angle G is 32 degrees.

In circle C, what is mArc F H?

31°
48°
112°
121°

Question

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Respuesta :

arrionmarry arrionmarry · Answer 1 · 2020-07-09T14:56:09+02:00

Answer:

B

Step-by-step explanation:

Answer Link

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-07-18T10:24:18+02:00

In circle C, the mArc F H is 48°. Thus, option B is correct.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

From the given;

∠BDE = 1/2(AJ - BE)

We can identify that:

∠BDE = 37

BE = 38

Substitute values and solve for the arc AJ,

37 = 1/2(AJ - 38)

AJ = 112

Since,

∠FGH = 1/2(AJ - FH)

∠FGH = 32

We can substitute values and solve for the Arc FH:

37 = 1/2(FH - 38)

FH = 48°

In circle C, the mArc F H is 48°. Thus, option B is correct.

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