Angles (Including Parallel Lines): WJEC GCSE Numeracy Intermediate June 2022 Unit 1 Q6

Numeracy Intermediate June 2022 Unit 1 Q6

WJECIntermediateCurrent spec3 marksAngles (Including Parallel Lines)

6. Waintram Housing has a plan for building some new houses.
The plan below shows the layout of the drains for some of the houses.
Some of the angles still need to be found.

Plan of drains: two lines marked with double arrows are parallel, and three lines marked with single arrows are parallel. The angle between a double-arrow line and a single-arrow line is 32°. Angle a is between the other double-arrow line and a single-arrow line; angle b is at the lowest junction; angle c is where a line perpendicular to the first double-arrow line crosses a single-arrow line.

Diagram not drawn to scale

Find the size of each of the angles \(a\), \(b\) and \(c\). [3]

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

Mark scheme

Scheme	Marks	Comments
(a =) 32(°)	B1
(b =) 148(°)	B1	FT 180 – ‘their a’ provided a ≠ 90
(c =) 122(°)	B1	FT 90 + ‘their a’ provided a ≠ 90 or 270 – ‘their b’ provided b ≠ 90