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In the triangle above, what is the length of the side BC?
(1) Line segment AD has length 6
(2) x= 36
Can someone please explain the logic behind the explanation given in the official guide for the quantitative review-1st edition (question #117).
What I can't understand from the explanation is that it has been assumed that
angle ABD + angle DAB = 2x
will imply that ABD = DAB =x.
Why is the above true? Isn't it possible that ABD = 1.5x and DAB = 0.5x?
Why those two have to be equal?