Geometry Structured Questions | Cambridge O Level Mathematics (Syllabus D)

(a)

Calculate the size of each exterior angle.

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(b)

A non-regular hexagon has interior angles $x^\circ$ , $(x+10)^\circ$ , $(x+20)^\circ$ , $(1.5x)^\circ$ , $(1.5x+10)^\circ$ , and $(2x-40)^\circ$ . Calculate the largest interior angle of this hexagon.

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(c)

State, with reason, whether a regular polygon can have an interior angle of $155^\circ$ .

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