Question

vertical angles have the same measure. $m\angle3 = m\angle1$
what is the sum of the angle measures of $\angle2$ and $\angle3$
enter your answer in the box.
$m\angle2 + m\angle3 = \square^\circ$
drag and drop the numbers to create an equation that can be used to find $m\angle2$
$38^\circ$ $62^\circ$ $90^\circ$ $180^\circ$

Explanation:

Step1: Identify supplementary angles

$\angle 1$ and $\angle 2$ are supplementary, so $m\angle 1 + m\angle 2 = 180^\circ$

Step2: Substitute vertical angles

Since $m\angle 3 = m\angle 1$, replace $m\angle 1$ with $m\angle 3$: $m\angle 3 + m\angle 2 = 180^\circ$

Step3: Equation for $m\angle 2$

Using $m\angle 1 = 62^\circ$ (implied by vertical angle logic), the equation is $m\angle 2 + 62^\circ = 180^\circ$

Answer:

$m\angle 2 + m\angle 3 = 180^\circ$
Equation to find $m\angle 2$: $m\angle 2 + 62^\circ = 180^\circ$