Question

select the correct answer form each drop - down menu. given: m∠woz = 90°. prove: m∠wox = 90°. complete the proof. suppose m∠wox ≠ 90°. by the, ∠wox is supplementary to ∠woz. therefore, m∠wox + m∠woz = 180°. by the assumption and the substitution property of equality, 90°+m∠woz ≠ 180°. using the subtraction property of equality, the measure of angle woz ≠ 90°, which contradicts the given. therefore, the assumption is not true, and m∠wox = 90°. congruent complements theorem linear pair theorem congruent supplements theorem vertical angles theorem

Explanation:

Step1: Recall linear - pair property

If two angles form a linear - pair, the sum of their measures is 180°. Since ∠WOX and ∠WOZ form a linear - pair, by the linear pair theorem, ∠WOX is supplementary to ∠WOZ, so m∠WOX + m∠WOZ=180°.

Step2: Analyze the contradiction

We are given m∠WOZ = 90°. If we assume m∠WOX≠90°, then by substitution, 90°+m∠WOZ≠180°, which is a contradiction to the linear - pair relationship.

Answer:

linear pair theorem