Foundation June 2022 Paper 1R Q10

EdexcelFoundationCurrent spec5 marksAngles (Including Parallel Lines)

10

Vertical line ABCD; horizontal line BEF with a right angle at B; line GCEH crosses ABCD at C and BEF at E. Angle BCE is 35°, angle x° is between CG and CD, angle y° is angle BEH

Diagram NOT accurately drawn

In the diagram, \(BCE\) is a right-angled triangle.
\(ABCD\), \(BEF\) and \(GCEH\) are straight lines.

Angle \(BCE = 35^\circ\)

(a)
(i) Find the value of \(x\) (1)
(ii) Give a reason for your answer. (1)
(b)
(i) Work out the value of \(y\) (2)
(ii) Give a reason for your answer. (1)