Solve a problem of your own!
Download the Studdy App!

Math

Math Snap

PROBLEM

If lines mm and nn are parallel and 2=35\angle 2 = 35^{\circ}, find 5\angle 5. Choices: 145145^{\circ}, 155155^{\circ}, 180180^{\circ}, 5555^{\circ}.

STEP 1

Assumptions1. Line mm is parallel to line nn (denoted as mm \| nn)
. The measure of \angle is 3535^{\circ}
3. We are looking for the measure of 5\angle5
4. We are assuming the diagram is a parallel line diagram with transversal, where \angle and 5\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.2=5\angle2 = \angle5

SOLUTION

Now, we can plug in the given value for the measure of 2\angle2 to find the measure of 5\angle5.
5=35\angle5 =35^{\circ}So, the measure of 5\angle5 is 3535^{\circ}.

Was this helpful?
banner

Start understanding anything

Get started now for free.

OverviewParentsContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord