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Numeracy Foundation June 2017 Unit 1 Q9

WJECFoundationCurrent spec6 marksAngles (Including Parallel Lines)Constructions

9. Kari is making a jigsaw puzzle.
She has designed the pattern on a piece of paper.
Kari plans to make each piece of the jigsaw a different colour.

Part of her plan is shown below.

Jigsaw plan: two parallel lines (arrows) crossed by two other lines; the Red piece has an angle of 86°, a side of 6 cm, an angle of 72° and a side of 8 cm

Diagram not drawn to scale

Kari now sketches a diagram of the red piece of the jigsaw, which is shown below.
She shows some extended lines and indicates all the angles she needs to find.

Sketch of the red piece with extended lines: 86° and 72° marked outside the piece, interior angles a, b, c and d, sides 6 cm and 8 cm, parallel arrows on two sides

Diagram not drawn to scale

Find the 4 missing angles in the red piece of the jigsaw.
Draw the red piece of Kari’s jigsaw accurately.
One side has been drawn for you. [6]

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

Space for drawing the red piece of jigsaw:

A line of length 8 cm already drawn in the drawing space

On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.