Question

a diagram is shown. complete the conditional statement below about ∠mop and ∠opn. if two parallel lines are cut by a transversal, then their option 1 angles are option 2. therefore, option 3 = option 4. option 1: a. alternate interior, b. consecutive interior, c. alternate exterior, d. corresponding option 2: a. supplementary, b. congruent option 3: a. ∠mop, b. ∠opn, c. ∠mop + ∠opn, d. ∠mop - ∠opn option 4: a. ∠opn, b. ∠mop, c. 90°, d. 180°

Explanation:

Step1: Identify angle - pair type

When two parallel lines are cut by a transversal, ∠MOP and ∠OPN are consecutive interior angles.

Step2: Recall property of consecutive - interior angles

Consecutive interior angles formed by two parallel lines and a transversal are supplementary, which means their sum is 180°.

Answer:

Option 1: B. consecutive interior
Option 2: A. supplementary
Option 3: C. ∠MOP + ∠OPN
Option 4: D. 180°