Respuesta :

118 Degrees because a whole circle is 360 Degrees. If you add the 136 + 74, that will give you 210. Subtract that from 360 and it will give you the answer of 118.

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 :)