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Geometry Level 3

D \text{D} is the midpoint of line segment BC \text{BC} of ABC \triangle{\text{ABC}} such that BDA ^ = CAB ^ = 4 5 \widehat{\text{BDA}} = \widehat{\text{CAB}} = 45^\circ . Calculate the value of ABC ^ \widehat{\text{ABC}} in degrees.

150 90 75 165 60 120 105 135

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