Question

@Shadow

Answer 1

We're going to have to use a few more formulas, so just bear with me :)

Answer 2

Ugh lol okay

Answer 3

Actually just kidding this is real simple xD

Answer 4

What is point K on?

Answer 5

Lmao XD and point K marks the radius of the circle. It's in the middle

Answer 6

Careful. Unless it says that specifically, don't assume.

Answer 7

Okay

Answer 8

But it does sit on an important line. You are almost there. What is that line calle?

Answer 9

The only thing I can think of is diameter line?

Answer 10

That's correct. A diameter basically bisects a circle. It cuts it in half. With 180 degrees on both sides. That means that both arcs created by the diameter are 180 degrees.

We previously used the inscribed angles formula, which says that an angle is 1/2 the measure of the arc.

\[Angle = \frac{ 1 }{ 2 }Arc\]

If the measure of the Arc is 180 degrees, then half that is 90. The measure of the angle on the top is 90 degrees.

Answer 11

Where do you think we go from there?

Answer 12

90=1/2 180 ?

Answer 13

I'll take your silence as thats not where we go from here XD

Answer 14

Was grabbing some water. But we already know it's 90 degrees. Here is that important moment where we need to remember what we're trying to solve for.

Answer 15

okay, we're trying to solve for the value of x

Answer 16

What does the value of x represent in this problem?

Answer 17

is it 15?

Answer 18

How'd you get that number?

Answer 19

90-75=15

Answer 20

Using the sum of all angles in a triangle?

Answer 21

No I just thought since a circle is 180 but cut in half its 90. Then subtracting the number I have from 90 would possibly give me the answer

Answer 22

Or did I assume wrong? Again XD

Answer 23

I am not sure about that assumption. Someone smarter than me could check and see if there is a possible theorem I am unaware of which could follow that route, but as far as I know...no.

So we are trying to solve for x, which represents an angle in a triangle. The route I took was that I know the sum of all angles in a triangle is 180. We are given 75, and and two unknown angles with one being x.

I noticed that K was on the diameter, and that there was an inscribed angled connected to the diameter. This allowed me to solve for that angle, and got 90.

Now that I know two angles of the triangle, I can do 180 - 90 - 75 = 15.

Answer 24

You got the right answer, just maybe not by the correct means.

Answer 25

Oh okay XD

Answer 26

and thank you so much for your help, I'd be completely lost without you XD

Answer 27

No problem. Glad I could help