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Junior Cycle Graphics: Angles, triangles & polygons

How often Angles, triangles & polygons comes up on the Graphics papers, every year it was asked, and questions to try.

CL Asked on 5 of the last 5 Common Level papers, most recently in 2026. banker

Angles, triangles & polygons, Common Level(8 marks)

Quick ones on Angles, triangles & polygons.

(a)What type of angle measures 250°?

(b)Two angles of a triangle are 48° and 67°. What is the third angle?

(c)What is each exterior angle of a regular octagon?

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(a) Reflex

(b) 65°

(c) 45°

Your turn: Common Level questions on Angles, triangles & polygons.

Common Level

Asked on 5 of the last 5 Common Level papers, most recently in 2026. banker

Links open the State Examinations Commission’s paper for that year.

Angles, triangles & polygons, 2 marks

What is the size of each angle in an equilateral triangle?

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60°

All three angles are equal and add to 180°, so each is 180 ÷ 3 = 60°. A regular hexagon is made of six of these triangles.

Angles, triangles & polygons, 3 marks

What do the interior angles of a pentagon add up to?

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540°

Sum = (n − 2) × 180°. For a pentagon (5 sides): 3 × 180 = 540°. In a regular pentagon each angle is 540 ÷ 5 = 108°.

Angles, triangles & polygons, 3 marks

Each exterior angle of a regular polygon is 36°. How many sides does it have?

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Number of sides = 360 ÷ exterior angle = 360 ÷ 36 = 10. A ten-sided polygon is a decagon; each interior angle is 180 − 36 = 144°.