Foundation November 2017 Paper 3 Q19
19 Two congruent, isosceles triangles are joined, as shown, to form a parallelogram.
The largest angle of the parallelogram is 110°.
Not to scale
Write two equations.
Solve them to find the value of \(a\) and the value of \(b\). [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(a + b = 110\) oe | 1 | ||
| \(4a + 2b = 360\) oe | 1 | Accept \(2a + b = 180\) | |
| \(a = 70\) | 1 | Ignore units | |
| \(b = 40\) | 1 | FT from their \(a\) or \(b\) seen correctly substituted in one equation If 0 scored SC1 for any \(a\) and \(b\) (not \(a = 70\) and \(b = 40\)) as answer that sum to 110 | |