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I think I might be able to help you. Is this trig or geometry?
Yeah I can help. Do you know what 'x' is specifically called?
It is considered an arc.
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
So I am assuming that the '116' degrees, they are referring to the inner angle inside.
By a theorem I cannot remember the name of, the angle 'behind' that '116' should equal '116'
It should create a 'bowtie' angle, if I remember correctly.
I will try to draw what I mean
Not drawn to scale but that's the idea I am trying to get at :-)
Now. Since these two are equal to each other, notice how there is the outer angle of 78?
Get what my picture means?
Not the 'arcs'
I cannot frewdraw lol my bad
However, from this, I will conclude that x= 78.
The only way this couldn't be true, is if they state that the inner angle on the opposite side of 116 isn't 116, then it's not true.
I am a little rusty on my geo skills, but that is what I would personally put in.
thank u so much :)
You're welcome! I hope it is right. But, I am 99.999999% sure it is. If we had a radius, then there is another formula we would use to calculate that, but frankly we do not have one.
Best of luck, if you ever need help, mention me I will help you.