Question

Select the correct answer form each drop-down menu. given: m ? woz = 90 ? prove: m ? wox = 90 ? a horizontal line xz intersects at the midpoint o of another vertical line wy 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 ? .

Answer 1

To prove that m ? wox = 90?, assume the opposite and show that it contradicts the given information.

Step-by-step explanation:

The given problem involves proving that m ? wox is equal to 90?.

To prove this, we can first assume that m ? wox is 90?. Then, we use the fact that m ? wox is supplementary to m ? woz (which is given as 90?). Adding the measures of these two angles should give us 180?.

However, this contradicts the given information that m ? woz is 90?. Therefore, our assumption that m ? wox is 90? is not true. Thus, m ? wox must be equal to 90?.

Answer 2

To prove that m ? wox = 90 ?, we can assume the opposite and show that it leads to a contradiction. By assuming m ? wox ? 90 ? and using properties of supplementary angles, we can deduce that the measure of angle woz is 90 ?. This contradicts the given statement. Therefore, the assumption is false, and m ? wox = 90 ?.

Step-by-step explanation:

The given statement is:

m ? woz = 90 ?

The objective is to prove:

m ? wox = 90 ?

To prove this, we are given that a horizontal line xz intersects at the midpoint o of another vertical line wy. Now let's prove the statement:

1. Suppose m ? wox ? 90 ?.
2. By the definition of supplementary angles, ? wox is supplementary to ? woz. Therefore, m ? wox + m ? woz = 180 ?.
3. Using the assumption and the substitution property of equality, 90 ? + m ? woz = 180 ?.
4. Using the subtraction property of equality, we can deduce that the measure of angle woz is 90 ? . This contradicts the given statement that m ? woz = 90 ?, which means the assumption is not true. Hence, m ? wox = 90 ?.