Foundation November 2023 Paper 2 Q12

OCRFoundationCurrent spec6 marksAngles (Including Parallel Lines)

12 The diagram shows two straight lines crossing a pair of parallel lines.

Two parallel lines (marked with arrows) crossed by two straight lines that intersect between them. Angles 59 degrees and 42 degrees are marked at the lower parallel line, x and y at the upper parallel line, and z at the point where the two crossing lines meet

Not to scale

(a)
(i) Find the value of \(x\).

Give a geometrical reason for your answer. [2]

(ii) Find the value of \(y\).

Give a geometrical reason for your answer. [2]

(b) Find the value of \(z\). [2]