Since, it is given that angle A is a right angle and angle B is a right angle.
We have to prove that [tex]m \angle A = m \angle B[/tex]
Now, we have to complete the given statement.
It is given that [tex]\angle A[/tex] and [tex]\angle B[/tex] are right angles. This means that [tex]m \angle A = 90^\circ[/tex] and [tex]m \angle B = 90^\circ[/tex] because of the definition of the right angles. By the substitution property of equality [tex]m \angle A = m \angle B[/tex].
Answer:
C. [tex]\angle A \text{ And }\angle B\text{ are right angles}.[/tex]
Step-by-step explanation:
We have been given that angle A is a right angle and angle B is a right angle. We are asked to choose the correct option that completes the first statement of the proof.
Let us prove that [tex]m\angle A=m\angle B[/tex] step by step.
First blank:
We have been given that [tex]\angle A \text{ And }\angle B\text{ are right angles}.[/tex].
Second blank:
This means that [tex]m\angle A=90^o[/tex] and [tex]m\angle B=90^o[/tex]
Third blank:
By the definition of right angles a right angle is an angle of exactly 90°.
Last blank:
Substitution property of equality states that if [tex]a=b\text{ and }b=c\text{ then }a=c[/tex]
Hence, by the substitution property of equality [tex]m\angle A=m\angle B[/tex].
Therefore, the statement [tex]\angle A \text{ And }\angle B\text{ are right angles}[/tex] completes the first blank of the proof and option C is the correct choice.
