QuestionIf lines $m$ and $n$ are parallel and $\angle 2 = 35^{\circ}$ , find $\angle 5$ . Choices: $145^{\circ}$ , $155^{\circ}$ , $180^{\circ}$ , $55^{\circ}$ .

Studdy Solution

STEP 1

Assumptions1. Line $m$ is parallel to line $n$ (denoted as $m \|$ $n$ ) . The measure of $\angle$ is $35^{\circ}$
3. We are looking for the measure of $\angle5$
4. We are assuming the diagram is a parallel line diagram with transversal, where $\angle$ and $\angle5$ are corresponding angles.

STEP 2

In a parallel line diagram with a transversal, corresponding angles are equal. This means that if two lines are parallel, then the measure of corresponding angles are the same. $\angle2 = \angle5$

STEP 3

Now, we can plug in the given value for the measure of $\angle2$ to find the measure of $\angle5$ .
$\angle5 =35^{\circ}$ So, the measure of $\angle5$ is $35^{\circ}$ .

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