Question

use deductive reasoning to complete the following statement: if m∠p = 57°, then the angle that forms a linear pair with ∠p measures ___. a. 303° b. 123° c. 33° d. 57°

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, meaning their sum is 180°.

Step2: Calculate the other angle

Let the angle that forms a linear - pair with ∠P be ∠Q. We know that m∠P + m∠Q=180°. Given m∠P = 57°, then m∠Q=180° - 57°.
180 - 57=123.

Answer:

B. 123°