In the figure, point D divides side BC of triangle ABC into segments BD and DC of lengths 1 and 2 units respectively. Given that �ADC = 60º and �ABD = 45º, what is the measure of angle x in degrees? (Note:
Figure is not drawn to scale.)
(A) 55 (B) 60 (C) 70 (D) 75 (E) 90
My question is that isn't the length of the height drawn from C to the line between A and D have value sqrt(3) (as it is a 30-60-90 triangle). If yes, then shouldn't the final value of [spoiler]x = 60 [/spoiler]instead of 75?
Figure is not drawn to scale.)
(A) 55 (B) 60 (C) 70 (D) 75 (E) 90
My question is that isn't the length of the height drawn from C to the line between A and D have value sqrt(3) (as it is a 30-60-90 triangle). If yes, then shouldn't the final value of [spoiler]x = 60 [/spoiler]instead of 75?
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