Angle of a trapezium

Geometry Level 5

ABCDABCD is a trapezium with ADBC AD \parallel BC and AB=ADAB = AD . 0<θ<180 0^\circ < \theta < 180^\circ is an angle such that BAC=θ \angle BAC = \theta, CAD=3θ \angle CAD = 3 \theta and ACD=5θ \angle ACD = 5 \theta . What is the measure (in degrees) of θ\theta?

Details and assumptions

A trapezium has a pair of parallel sides.

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