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GMAT Problem Solving (PS) | Re: In the figure shown, AC = 2 and BD = DC = 1. What is the measure of

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AC-DC=AD
AD = 1, this makes triangle ADC an isosceles triangle

Sum of interior opposite angles = exterior angle.
\(\angle BAD + \angle ABD = \angle BDC\)
Here these two angles are equal, lets say x.

Since AC is a straight line, \(\angle BDC = 180^ {\circ} - 120^ {\circ} = 60^ {\circ}\)

Hence \(\angle BAD + \angle ABD = 60^ {\circ}\)
x+x=60
x=30

Answer is C

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