Question

1. use the given angle to find the remaining angle measures in the diagram.
2. suppose m∠3 = 102° in the figure to the left. describe two different ways to find m∠6.
3. find the m∠1. name the angle - pair used.

Explanation:

Step1: Identify angle - pair type

Assume parallel lines and a transversal. For the first case with a given angle of 42°, if the angle and ∠1 are corresponding angles (assuming parallel lines), they are equal.

Step2: Determine ∠1 measure

Since corresponding angles are equal when lines are parallel, m∠1 = 42°. The angle - pair used is corresponding angles.

Answer:

m∠1 = 42°, Angle - pair: Corresponding angles