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Numeracy Intermediate November 2018 Unit 1 Q7

WJECIntermediateCurrent spec4 marksAngles (Including Parallel Lines)

7. Yousef has a piece of wallpaper.

He wants to draw some of the leaves to create a different design to screen print.

Yousef draws lines on the wallpaper.
Some of the lines are parallel.
He measures four angles and needs to calculate four more.

Lines drawn over a leaf-pattern wallpaper: three nearly vertical lines, the left two marked parallel with single arrows; three nearly horizontal lines falling to the right, the top and third marked parallel with double arrows; and one line rising to the right near the bottom. Angles marked 73°, 76°, 130°, 125° and unknown angles a, b, c and d

Diagram not drawn to scale

Find the size of each of the angles \(a\), \(b\), \(c\) and \(d\). [4]

\(a\) = …………… °   \(b\) = …………… °   \(c\) = …………… °   \(d\) = …………… °