Edexcel IGCSE Math A Higher 4.7 Ha Geometrical Reasoning for Angles Questions

Practise Higher reasoning questions by naming the exact geometry statement that justifies the angle found in the diagram.

Exam points

State a standard geometrical reason after finding an angle value in a diagram.
Use circle, line or polygon angle statements rather than unsupported numerical working.

[Maximum number: 2]

L, M, N and P are points on a circle, centre O
Angle $M N P=58^{\circ}$

Give a reason for your answer.

Reason:

Opposite angles in a cyclic quadrilateral sum to $180^\circ$ .

B1, dep on a correct answer or correct method seen for part (a)(i).

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