Foundation June 2023 Paper 1 Q8
8
(a) Work out the size of the angle marked \(x\). (2)
A student says that an angle of \(50^\circ\) is an obtuse angle.
The student is wrong.
(b) Explain why. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 310 | M1 | for \(360 - 50\) |
| A1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for explanation relating to the type of angle \(50^\circ\) is, or an explanation why it is not an obtuse angle Acceptable examples It’s \((50^\circ)\) an acute angle an angle below 90 is acute because it \((50^\circ)\) is less than 90 It \((50^\circ)\) is too small to be an obtuse angle an obtuse angle is greater than 90 (but less than 180) an obtuse angle is greater than 50 Not acceptable examples because \(50^\circ\) is not an obtuse angle an angle of \(50^\circ\) is a reflex angle an obtuse angle is all angles greater than 90 an obtuse angle is an angle greater than 120 an obtuse angle is 90 or more |
Additional guidance
Do not accept contradictions in the answer, eg. “an obtuse angle is greater than 180 so 50 is an acute angle” or “an obtuse angle is greater than 90 and less than 270”