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Types of angles

Need a types of angles within reach? Print it for the wall, then hand off to the practice sheets below.

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Types of angles — free printable reference chart

Reference chart

Types of angles

50°

Acute angle

Less than 90°

90°

Right angle

Exactly 90°

130°

Obtuse angle

Between 90° and 180°

180°

Straight angle

Exactly 180°

220°

Reflex angle

More than 180°

12

Adjacent angles

A shared side

30°60°

Complementary

The two add to 90°

55°125°

Supplementary

The two add to 180°

12

Vertical angles

Opposite, and equal

Long arms do not make a bigger angle. The arrows say the arms carry on for ever — what you are measuring is the turn between them, and nothing else on the drawing.

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What's on this chart

The five sizes are one fact each and a child can hold them in a morning: less than 90°, exactly 90°, between 90° and 180°, exactly 180°, more than 180°. What makes them worth a wall chart is that the words arrive before the protractor does. A question that says "is this angle acute or obtuse" is asking for a judgement by eye against a right angle, and a page where all five sit side by side is what that judgement gets built from.

Why this chart helps

Every arm on this page ends in an arrowhead, and that is the one drawing decision here worth defending. The commonest mistake with angles at this age is not arithmetic — it is believing that the angle with the longer lines is the bigger one. An arm that stops is a line segment and invites the comparison; an arrow says the arm runs on for ever, so there is nothing to compare but the turn itself. Two angles of 40° drawn at different scales are the same angle, and the arrows are what make that visible without saying it.