Question

rita tells john that since line p is parallel to line q, he can determine the measure of ∠1 by drawing a line in the diagram shown. what is the measure of ∠1 in degrees? m∠1 =

Explanation:

Step1: Draw a line parallel to p and q through the vertex of ∠1.

This creates two sets of alternate - interior angles.

Step2: Identify the alternate - interior angles.

The angle of 29° and one part of ∠1 are alternate - interior angles, and the angle of 46° and the other part of ∠1 are alternate - interior angles.

Step3: Calculate the measure of ∠1.

m∠1=29° + 46°

Answer:

75