Question

1. name the relationship for each pair of angles below. a. ∠1 and ∠3 b. ∠1 and ∠5 c. ∠4 and ∠5 d. ∠4 and ∠6 2x + 12 = 2x15 + 12 = 30 + 12 x = 12

Explanation:

Step1: Identify angle - pair type for ∠1 and ∠3

Vertical angles are opposite each other when two lines intersect. ∠1 and ∠3 are vertical angles.

Step2: Identify angle - pair type for ∠1 and ∠5

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. ∠1 and ∠5 are corresponding angles.

Step3: Identify angle - pair type for ∠4 and ∠5

Same - side interior angles are on the same side of the transversal and between the two lines. ∠4 and ∠5 are same - side interior angles.

Step4: Identify angle - pair type for ∠4 and ∠6

Alternate interior angles are between the two lines and on opposite sides of the transversal. ∠4 and ∠6 are alternate interior angles.

Answer:

a. Vertical angles
b. Corresponding angles
c. Same - side interior angles
d. Alternate interior angles