Higher June 2019 Paper 5 Q9

9 An interior angle of an isosceles triangle is \(p\)° and an exterior angle is \(q\)°.

A vertex of the triangle with interior angle p° and the adjacent exterior angle q° on a straight line

Not to scale

It is given that \(q = 5p\).

(a) Write the ratio \(p : q\) in its simplest form. [2]
(b) Work out the two different possible sets of angles for the isosceles triangle. [4]