Answer: B.9
Step-by-step explanation:
You know that [tex]\angle A[/tex]≅[tex]\angle B[/tex], this means that the measure of the angle A and the measure of the angle B are equal. Then:
[tex]m\angle A=m\angle B[/tex]
You know that:
[tex]m\angle A=4x-12[/tex] and [tex]m\angle B=24[/tex]
Therefore, you can substitute them into [tex]m\angle A=m\angle B[/tex] :
[tex]4x-12=24[/tex]
Now you can solve for the variable "x":
[tex]4x=24+12\\\\4x=36\\\\x=\frac{36}{4}\\\\x=9[/tex]
You can observe that this value of "x" matches with the option B.
