This shape is made from eight identical triangles. Sketch the diagram and label the other angles equal to $a, b$ or $c$.

This shape is made from eight identical triangles. Use this fact to calculate the missing angles.

The diagram shows angle $X$ is $45°$. Calculate $a$.

The diagram shows angle $X$ is $45°$. Angle $X$ is increased to $90°$. Find the new value of $a$.

The diagram shows angle $X$ is $45°$. Angle $X$ is increased to $119°$. Find the new value of $a$.

The diagram shows angle $X$ is $45°$. Can angle $X$ be more than $119°$? Give a reason for your answer.

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 $AD$.