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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°=
°

1 answer

If ∠2 and ∠4 are vertical angles, then they are equal in measure. Since their sum is given as 110°, you can set up the equation as follows:

Let \( x \) be the measure of each angle:

\[ x + x = 110° \]

This simplifies to:

\[ 2x = 110° \]

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

\[ x = \frac{110°}{2} = 55° \]

So, the equation that solves for the value of each angle is:

\[ 2x = 110° \]

And each angle measures \( 55° \).