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Numeracy Foundation November 2020 Unit 1 Q8

WJECFoundationCurrent spec3 marksAngles (Including Parallel Lines)

8. A new runway is to be built at an airport.

The plan below shows some of the angles.

Bryn has been asked to complete the plan by finding each of the missing angles, \(x\), \(y\) and \(z\).

Two parallel lines (marked with arrows) crossed by a line making 65° with the left parallel line, with y on the other side of that crossing; a line from the top of the left parallel line making 70° meets the right parallel line at angle x; at the lower crossing, z and 42° are marked by a further line

Diagram not drawn to scale

Calculate the size of each of the angles \(x\), \(y\) and \(z\). [3]

\(x\) = …………………… °   \(y\) = …………………… °   \(z\) = …………………… °