Answer:
x=5
Explanation:
Hello! No worries, Geometry is very confusing.
There are several proofs and theorems to use when trying to prove an angle size. In this picture, we see two lines intersecting, forming an intersection point with two similar looking angles.
With the Vertical Angles Theorem, it explains that when two lines intersect such as shown here, the angle on the vertical side of the original angle are both equal to the same number and is identical. Similarly, using this theorem we know that the unnamed angles (the big ones) are identical too, as they are vertical sides of each other.
Now we know the angle 6x and 30 degrees are equal to each other. So how do we solve x?
We can solve for x by making it equal to each other, signaling that you understand the Vertical Angle Theorem and stating that those two angles are equal to each other.
6x=30 Divide by 6 both sides to isolate the x varianle
x=5
Therefore, x is equal to 5.