Question

if angle 1 is 110°, what would the other angle measures have to be in order for m || n and q || p? angle 2 = angle 3 = angle 4 =

Explanation:

Step1: Identify vertical - angle relationship

Angle 1 and angle 2 are vertical angles. Vertical angles are equal. Since angle 1 = 110°, then angle 2=110°.

Step2: Identify corresponding - angle relationship

If \(m\parallel n\) and \(q\parallel p\), angle 1 and angle 3 are corresponding angles. Corresponding angles are equal when lines are parallel. So angle 3 = 110°.

Step3: Identify alternate - interior - angle relationship

Angle 1 and angle 4 are alternate - interior angles. Alternate - interior angles are equal when lines are parallel. So angle 4 = 110°.

Answer:

Angle 2 = 110°
Angle 3 = 110°
Angle 4 = 110°