Angles (Including Parallel Lines): WJEC GCSE Foundation June 2022 Unit 1 Q14

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Foundation June 2022 Unit 1 Q14

14.

Diagram not drawn to scale

Calculate the size of angle \(x\).
You must show all your working. [4]

\(x\) = …………………… °

Mark scheme

Scheme	Marks	Comments
360 – 90 – 220 or equivalent	M1	Answer line takes precedence. Note: 360 – 310 or 270 – 220 or 140 – 90 Award M1 for complete method or intention of complete method provided not contradicted e.g. brackets missing 360 - 90 + 220
= 50(°)	A1	May be seen in later working
(\(x\) = ) (180 - 50) ÷ 2 or equivalent	M1	May be seen in stages FT (180 – ‘their 50’) ÷ 2
= 65(°)	A1

14. Alternative method

Scheme	Marks	Comments
(Exterior angle = sum of the two opposite interior angles =) 220 – 90(=) 130(°)	B1	Answer line takes precedence.
(\(x\) = ) 130 ÷ 2 or equivalent	M2	FT (their ‘220 – 90’) ÷ 2
= 65(°)	A1

The scheme prints this alternative in italics.