Question

Find x

Answer 1

https://i.gyazo.com/b3c8ed45506416f6d2e723e63d3c5e43.png

Answer 2

I think I might be able to help you. Is this trig or geometry?

Answer 3

geometry

Answer 4

Yeah I can help. Do you know what 'x' is specifically called?

Answer 5

no

Answer 6

It is considered an arc.

Answer 7

In a circle, the length of an arc is a portion of the circumference. Remembering that the arc measure is the measure of the central angle, a definition can be formed

Answer 8

okay

Answer 9

So I am assuming that the '116' degrees, they are referring to the inner angle inside.

Answer 10

By a theorem I cannot remember the name of, the angle 'behind' that '116' should equal '116'

Answer 11

It should create a 'bowtie' angle, if I remember correctly.

Answer 12

I will try to draw what I mean

Answer 13

thank you

Answer 14

Not drawn to scale but that's the idea I am trying to get at :-)

Answer 15

Now. Since these two are equal to each other, notice how there is the outer angle of 78?

Answer 16

yes

Answer 17

Get what my picture means?

Answer 18

Not the 'arcs'

Answer 19

yeah