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

Question 1 of 7 · 7 marks

Geometry · 1 - Geometrical terms

3 parts

Mathematics (Syllabus D) 4024 · Question 1Paper 2 · Calculator[7 marks]

A regular polygon has $15$ sides.

(a)

Calculate the size of each exterior angle.

[2]

(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.

[3]

(c)

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

[2]