Question

1. What is angle DFE?
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2.What is angle BKD?
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Answer 1

Will give medals

Answer 2

Pleaseeeeeee help

Answer 3

I will be so thankful!

Answer 4

\(c = \dfrac{1}{2}(a + b) \)

Answer 5

For the first problem above.
When 2 chords intersect inside the angle, the measure of angle c is half the sum of the arcs shown.

Answer 6

In the first problem, then, the measure of angle DFE is half the sum of the measures of arcs BC and DE.

Answer 7

Are you following so far?

Answer 8

yes

Answer 9

We don't know the measures of arcs BC and DE, but all we need to know is the sum of the measures.

Answer 10

A full circle is an arc of 360 degrees.

Answer 11

Since the figure shows 4 arcs, if you subtract the known measures from 360, you get the sum of the measures of BC and DE

Answer 12

yes, i understand

Answer 13

What is 360 - 84 - 38 =

Answer 14

238

Answer 15

Good.
That means that the sum of the measures of arcs BC and DE is 238.

Answer 16

yes but we need the angles

Answer 17

Now divide 238 by 2 to get the measure of angle DFE

Answer 18

That solves problem 1.

Answer 19

119?

Answer 20

yes

Answer 21

What about the other one?

Answer 22

For the second problem, use the formula above directly.

Answer 23

63?

Answer 24

\(m \angle BKD = \dfrac{1}{2}[m (arc)AKE + m(arc) BKD] \)

Answer 25

correct

Answer 26

/O.O\