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Numeracy Intermediate November 2020 Unit 1 Q4

WJECIntermediateCurrent spec3 marksAngles (Including Parallel Lines)

4. 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 \(z\).

Plan of runways: two parallel lines (arrows) crossed by other lines, with angles 70°, 65° and 42° marked and missing angles x, y and z

Diagram not drawn to scale

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

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