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: Find Angle 2

Angle 1 and Angle 2 are supplementary (linear pair), so \( \text{Angle 2} = 180^\circ - 110^\circ = 70^\circ \).

Step2: Find Angle 3

Since \( m \parallel n \) and \( q \parallel p \), Angle 3 and Angle 2 are corresponding angles, so \( \text{Angle 3} = 70^\circ \).

Step3: Find Angle 4

Angle 4 and Angle 1 are corresponding angles (since \( q \parallel p \) and \( m \) is a transversal), so \( \text{Angle 4} = 110^\circ \).

Answer:

Angle 2 = \( 70^\circ \)
Angle 3 = \( 70^\circ \)
Angle 4 = \( 110^\circ \)