Foundation November 2024 Paper 1 Q5

OCRFoundationCurrent spec4 marksAngles (Including Parallel Lines)

5

(a) The diagram shows a triangle, ABC.
The angle at A is \(30^\circ\).
Right-angled triangle ABC with a right-angle symbol at B and angle 30 degrees marked at A

Not to scale

(i) What does the symbol at angle B mean?
Choose from this list.
An acute
angle
The biggest
angle
An obtuse
angle
A reflex
angle
A right
angle

[1]

(ii) Work out the angle at C.
Give a geometrical reason for your answer.

The angle at C is ..................\(^\circ\) because .................. [2]

(b) A student works out the size of angle \(x\) in this diagram.
Two straight lines meeting at a point; the angle on one side is marked 160 degrees and the angle on the other side is marked x

Not to scale

The student says the angle is \(240^\circ\).

Explain why the student’s answer cannot be correct. [1]