Answer:x = 80 degreeStep-by-step explanation:angle B = 100 degree (being vertically opposite angle)angle B + angle x = 180 degree ( being same side interior angles or also said as co interior angles )100 + x = 180x = 180 - 100x = 80 degree

answer from bhadelsimron19

6

Answers #2

Answer:[tex]x=80^{\circ}[/tex]Step-by-step explanation:The answer is correct and the reasoning is fine. I'd mention that that [tex]\angle x[/tex] corresponds with angle [tex]\angle ABC[/tex] and since [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] form one side of a line, they are supplementary (add up to 180 degrees). Therefore, [tex]x=180^{\circ}-100^{\circ}=\boxed{80^{\circ}}[/tex].Your reasoning is correct as well, but maybe just add on and explain that [tex]m\angle B=m\angle CBD[/tex] because they are vertical angles. In addition, I have a hard time believing a computer will be able to grade the reasoning portion of the question well. It's entirely possible it isn't giving you credit for that because it needs to be manually graded.

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