Question

select the correct answer form each drop - down menu.
given: m∠woz = 90°
prove: m∠wox = 90°

by the linear pair theorem, ∠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 does not equal/equals 90°, which contradicts the given. therefore, the assumption is not true, and m∠wox = 90°.

Explanation:

Step1: Recall supplementary - angle property

$\angle$WOX and $\angle$WOZ are supplementary, so $m\angle$WOX + $m\angle$WOZ=180°.

Step2: Substitute the given value

Given $m\angle$WOZ = 90°, substitute into the equation: $m\angle$WOX+90° = 180°.

Step3: Solve for $m\angle$WOX

Using the subtraction property of equality, subtract 90° from both sides: $m\angle$WOX=180° - 90° = 90°.

Answer:

The measure of $\angle$WOX equals 90°.