Foundation June 2017 Paper 3 Q13
13 The size of the largest angle in a triangle is 4 times the size of the smallest angle.
The other angle is \(27^\circ\) less than the largest angle.
Work out, in degrees, the size of each angle in the triangle.
You must show your working. (5)
| Answer | Mark | Notes |
|---|---|---|
| 92, 65, 23 | P1 | for two of \(x\), \(4x\) and \(4x - 27\) (where \(x\) is the smallest angle) |
| P1 | (dep) for equation summing their three angles to 180, eg \(x + 4x + 4x - 27 = 180\) | |
| P1 | (dep P1) for correct process to simplify their algebraic expression, eg \(9x - 27\ (=180)\) | |
| P1 | for correct process to solve their equation of the form \(ax + b = 180\) | |
| A1 | for three correct angles (order irrelevant) |