Question

arc measure question

Answer 1

There is a property of a quadrilateral inscribed in a circle.
It has to do with the measures of opposite angles.
Do you know it?

Answer 2

No I'm afraid not

Answer 3

I don't understand

Answer 4

Wait, you don't even need that. I just noticed the 112-deg measure.

Answer 5

How many degrees is an entire circle?

Answer 6

360

Answer 7

Right.
If you think of an entire circle as an arc, the arc measure of an entire circle is 360 deg.

Answer 8

right

Answer 9

If a full circle is 360 deg arc measure, how much is the arc measure of a half circle?
What is half of 360?

Answer 10

180

Answer 11

Good.
If you see a diameter drawn on a circle, each arc is half a circle and is180 deg.

Answer 12

right

Answer 13

Each half circle has 180 deg arc measure.

Answer 14

ok

Answer 15

Now look at your figure.
In your problem, arcCDE has a diameter as its central angle, so what is the measure of arcCDE?