Angles (Including Parallel Lines): WJEC GCSE Intermediate June 2017 Unit 2 Q12

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Intermediate June 2017 Unit 2 Q12

12. Show that the triangle below is not a right-angled triangle. [5]

Diagram not drawn to scale

Mark scheme

Scheme	Marks	Comments
3x − 2 + 2x + 1 + 5x − 9 = 180	M1
10x = 190	A1
x = 19	A1	F.T. from ax = b. Allow all 3 marks for x = 19.
Substituting x = 19 into at least one expression.	M1	If x ≠ 19 F.T. ‘their derived value of x’.
(3x – 2 =) 55(°) (2x + 1 =) 39(°) (5x – 9 =) 86(°) (So not a right-angled triangle)	A1	F.T. for this A1 if x > 2. Any two of these expressions correctly evaluated with no incorrect evaluation, provided the sum of the two found is > 90. (statement not required)