what is the answer to this in degrees?? pls only answer if you know its right
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Answer:
150 degrees = measure of arc AC
Step-by-step explanation:
Since we know that those two angles are equal as it is given, we can call them x.
We also know that the sum of all the angles in a circle = 360 degrees
Form an equation now
136+74+42+2x=360
Simplify
2x=108 ; x=54
So we know that the two unknown angles are = 54 degrees.
Now we can find out how many degrees the measure of angle APC equals. (Hint: we can use this to find the arc AC)
To find APC we do 360-(136+74)=360-136-74=150 degrees.
Now we know that APC = 150 degrees.
This allows us to find arc AC. This also equals to 150 degrees.
Why?
Because: An arc on a circle has the same measure as the angle that is made up of the two lines that touch the endpoints of the arc, and meet at the radius.
Hope this helps :)