This trapezium has a pair of parallel sides. Use this fact to calculate the missing angles.

Make an accurate drawing of this line.

Draw a line at $B$ that is perpendicular to $AD$.

Draw a line at $C$ that is perpendicular to $AD$.

Two lines at points $C$ and $B$ are drawn perpendicular to $AD$. Lines from parts $B$ and $C$ should be parallel. Are they?

Draw a perpendicular line from $X$ to line $YZ$. Label the intersection as $P$.

A perpendicular line is drawn from $X$ to line $YZ$ at point $P$. Measure value of $XP$.

A perpendicular line is drawn from $X$ to line $YZ$ at point $P$. Measure value of $YP$.

The length of $PC$ is $4.5 cm$. Draw a line through $P$ that is parallel to $AB$.