4MA0 Foundation January 2017 Paper 2R Q9

EdexcelFoundationOld spec4 marksAngles (Including Parallel Lines)

9

Straight line ADC and straight line BDE crossing at D; triangle BDC with angle DBC = 80 degrees, angle BDC = 40 degrees and angle z at C; reflex angle y at B; angle x at D between A and E

Diagram NOT accurately drawn

\(ADC\) is a straight line.
\(BDE\) is a straight line.

Angle \(DBC = 80^\circ\)
Angle \(BDC = 40^\circ\)

(a) Write down the value of \(x\). (1)
(b) Work out the value of \(y\). (1)
(c) Work out the value of \(z\). (2)