Two intersecting lines create four angles; <2 and <4 are a vertical pair. Their sum of their measures is equal to 110. What equation will solve for the village of each angle?

Question

__x = ___

Answer 1

Since angles <2 and <4 are vertical angles, they are equal in measure. If the sum of their measures is 110 degrees, you can express this relationship with the following equation:

Let \( x \) represent the measure of angle <2 and also the measure of angle <4 because they are equal.

The equation can be set up as:

\[ x + x = 110 \]

or simplified to:

\[ 2x = 110 \]

To solve for \( x \), divide both sides by 2:

\[ x = \frac{110}{2} = 55 \]

So, \( x = 55 \).

The solution can be summarized as:

x = 55.