Edexcel IGCSE Math A Foundation 4.2 E Angle Sum of Polygons Questions

Practise polygon-angle questions by choosing the correct angle-sum formula, adding known angles and solving for the unknown value.

Exam points

Use the interior angle sum of a pentagon, decagon or other polygon to find x.
Combine exterior-angle information with polygon angle sums to solve for a missing angle.

[Maximum number: 3]

The size of each exterior angle of a regular polygon is $24^{\circ}$

Here is a pentagon.

Diagram NOT accurately drawn

Work out the value of t.

(5-2)\times180=540

540-(90+137+90+128)=95

Final answer:

95^\circ

M1 for a correct pentagon angle-sum method.
M1 for subtracting the four known angles.
A1.

Alternative exterior-angle method:

90+43+90+52+180-t=360

t=95

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