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Numeracy Higher November 2018 Unit 1 Q2

WJECHigherCurrent spec4 marksAngles (Including Parallel Lines)

2. 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.

Three near-vertical lines (two marked parallel with single arrows) crossed by three near-horizontal lines (two marked parallel with double arrows) and a sloping line; angles 73°, 76°, 130°, 125° and unknowns a, b, c, d marked

Diagram not drawn to scale

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

a = …………… °    b = …………… °    c = …………… °    d = …………… °