Question

Question
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 value of each angle?(1 point)
x°=
°

Answer 1

Since angles ∠2 and ∠4 are vertical angles, they are equal in measure. Given that their sum is 110°, we can set up the equation as follows:

Let x be the measure of each angle (since they are equal):
\[
x + x = 110°
\]
This simplifies to:
\[
2x = 110°
\]

Now, we can solve for x:
\[
x = \frac{110°}{2} = 55°
\]

Therefore, the equation that will solve for the value of each angle is:
\[
2x = 110°
\]
And the value of each angle is:
\[
x° = 55°
\]