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# Quadrilaterals

These shapes have four sides and 360° of interior angle goodness.

**Note \(1\):** The above diagram is not drawn to scale, and \(\lvert \triangle ABC \rvert\) denotes the area of \(\triangle ABC.\)

**Note \(2\):** In the US a quadrilateral with one pair of parallel lines is called a "trapezoid." Elsewhere, a quadrilateral with one pair of parallel lines is called a "trapezium."

**Note:** In the US a quadrilateral with one pair of parallel lines is called a "trapezoid." Elsewhere, a quadrilateral with one pair of parallel lines is called a "trapezium."

**Note \(1\):** The above diagram is not drawn to scale, and \(\lvert{\triangle ABC}\rvert\) denotes the area of \(\triangle ABC.\)

**Note \(2\):** In the US a quadrilateral with one pair of parallel lines is called a "trapezoid." Elsewhere, a quadrilateral with one pair of parallel lines is called a "trapezium."

**Note \(1\):** The above diagram is not drawn to scale.

**Note \(2\):** In the US a quadrilateral with one pair of parallel lines is called a "trapezoid." Elsewhere, a quadrilateral with one pair of parallel lines is called a "trapezium."

Trapezium \(ABCD\) has \(AB\) parallel to \(DC\). If \(\angle DBC = 23 ^\circ\) and \(\angle BCD = 59 ^\circ\), what is \(\angle ABD\) (in degrees)?

**Details and assumptions**

A trapezium has a pair of parallel sides.

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