ABC is bisected by ray BD. If m< ABD = (21x + 21) and m< DBC = (7x + 28), find m< ABC?

Question:1) 31.5
2) 62
3) 63
4) 0.5

Answers:
Since the angle is bisected, it means the two smaller angles that are made are equal. You can set them equal to each other and solve for x, then take that value and substitute it back in and add up what the total angle is.
21 x + 21 = 7x + 28
14x + 21 = 28
14 x = 7
x = 0.5

21(0.5) + 21 + 7(0.5) + 28
10.5 + 21 + 3.5 + 28=63

Therefore the answer is 3) 63.

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