Question

Geometry help please.

Answer 1

Hello @hardlyhuman

Answer 2

Hi again :)

Answer 3

Do you know what inscribed angles are?

Answer 4

Not a clue

Answer 5

Angles that are formed in a circle?

Answer 6

Technically yes, with the vertex on the perimeter of the circle (or edge)

Answer 7

And the sides being two intersecting chords (they intersect at the vertex)

Answer 8

Chords are basically another word for lines in a diameter (in contrast to diameter and radius). Basically any like that goes from one side to the another side in the circle.

Answer 9

line*

Answer 10

Okay I think I understand. How would we go about solving the problem though?

Answer 11

We have the inscribed angle. We are looking to solve for the arc (which is DG in this case).

Answer 12

You can think of it this way. The arc is 2x the size of it's inscribed angle. So how would you go about solving this ?

Answer 13

@hardlyhuman makes sense?

Answer 14

Kind of

Answer 15

would we just multiply 55 by 2 or something?

Answer 16

Lets think of it algebraically

Let A = measure of inscribed angle
Let B = measure of arc

\[A = \frac{ 1 }{ 2 }B\]

Answer 17

We are trying to solve for B, the measure of the arc. What do we know?

Answer 18

the arc is DG and 2x the size of it's inscribed angle?

Answer 19

What given information do we have?

Answer 20

When trying to solve for a variable (B) in an equation, we can only have one unknown variable. There is another variable in the equation, A (measure of the inscribed angle).

Answer 21

a=55

Answer 22

\[55 = \frac{ 1 }{ 2 }B\]

Answer 23

What do we do now?

Answer 24

solve for b

Answer 25

right?

Answer 26

mhm

Answer 27

B=110

Answer 28

Correct

Answer 29

k, can you help with the next one?

Answer 30

Sure

Answer 31

thanks :)

Answer 32

Open a new question up though xD

Answer 33

okay lol