Question

Find $m\angle 1$.

Short answer

The measure of the angle is $65°$.

Step-by-step solution

Step 1. Given Information.

The figure is shown below.

Step 2. Concept used.

If two angles formed at the intersection point of two lines are opposite to each other, then the measures of the angles, called as vertical angles, are equal.

Step 3. Calculation.

$\angle 1$has the same measure as its opposite angle. Since the angle opposite to $\angle 1$ has a measure of $65°$, write,

$m\angle 1=65°$

Step 4. Conclusion.

The measure of the angle that is vertical to an angle measuring $65°$ is $65°$.