# Angle of a trapezium

Geometry Level 5

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

Details and assumptions

A trapezium has a pair of parallel sides.

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