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 pairs of alternate - interior angles.

Step2: Use the property of alternate - interior angles.

The angle above the new - drawn line and parallel to p is 29° (alternate - interior angles with the angle of 29° on line p), and the angle below the new - drawn line and parallel to q is 46° (alternate - interior angles with the angle of 46° on line q).

Step3: Calculate the measure of ∠1.

m∠1=29° + 46°=75°

Answer:

75