4MA0 Higher June 2016 Paper 4 Q4

4

Triangle EFG crossed by parallel lines AB and CD, with angle 50° at E, angle p° and 63° at the line through E and G, and angle q° at C

Diagram NOT accurately drawn

\(EFG\) is a triangle.
\(AB\) is parallel to \(CD\).

(a) Write down the value of \(p\) (1)
(b) Write down the value of \(q\) (1)

Here is a hexagon.

Hexagon with interior angles 3x°, 139°, x°, 156°, 97° and 164°

Diagram NOT accurately drawn

(c) Work out the value of \(x\) (3)