Question

Given that m∠ABD = 84° and m∠BAC = 37°, what is the m∠ACD?

Answer 1

Answer: 84°

Step-by-step explanation:

Pardon my drawing, I know it;s not prefect, and I'm not sure how to draw a figure on Brainly, but this is the best I can do. For this problem, it is easier to draw it out so you can see that the angles look like. Just pretend the lines are filled in, and this is a perfect parallelogram.

       

      A   ________________ C

        /                                   /

      /                                  /

    /                                 /

B /_______________/ D

As you can see, the angles given in the problem gives us a parallelogram. Since we know m∠ABD is 84° and m∠BAC is 37°, we know that m∠ACD is 84°. If you draw diagonal lines, ∠ABD and ∠ACD are vertical angles. Vertical angles are congruent. Therefore, m∠ACD is 84°.