Find the value of \(a \) if the points $\left( {3, – 1} \right),\left( {5,5} \right),\left( {a, – 4} \right)$ are collinear.
Note that collinear means that more than two points lie on the same straight line.

The perpendicular bisector of \(\left( {1,2} \right)\) and \(\left( {3,7} \right)\) is \(4x + 10y + A = 0\).

Two angles of a pentagon are right angles. The other three angles are all equal. Find the size of these angles.

Which of the following is a regular quadrilateral?

A certain quadrilateral has each angle \( 10^\circ \) greater than the previous one, except the smallest angle. How large is the smallest angle?

Find \(\theta \), correcting to the nearest degree, if the area of the triangle is 16 cm².

Find \(\theta \),  correcting to the nearest degree.

To calculate the height of a tree, Sarah measures the angle of elevation to the top as \(42^\circ \).   She then walks 20 m closer to the tree and measures the angle of elevation as \(61^\circ \).   Find the height of the tree.

Find the smallest angle in the triangle, correcting to the nearest degree.

Find the amplitude and period of \(y = \tan 2x\).