Question

I construct a quadrilateral with 3 sides and 2 included angles being ${75}^{\circ }$ and ${105}^{\circ }$ respectively. The type of quadrilateral I am constructing is___.

Answer 1

The 2 given angles are supplementary ($\because {75}^{\circ }+{105}^{\circ }={180}^{\circ })$. Hence, the quadrilateral is a trapezium as in a trapezium, one pair of opposite sides are parallel and form supplementary angles.