beat_gmat_09 wrote:In the figure to the right, point D divides side BC of triangle ABC into segments BD and DC of lengths 1 and 2 units respectively. Given that Angle ADC = 60 and Angle ABD = 45, what is the measure of angle x? (Note: Figure is not drawn to scale.)
(A) 55
(B) 60
(C) 70
(D) 75
(E) 90
This is a very hard problem to solve without using trigonometry. The trick is to draw a 30:60:90 triangle and notice all the isosceles triangles that are created.
For one possible solution, please see the attachment.
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Attachments
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- BTG_angle_x.pdf
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