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Solids, angles and quadrilaterals · Usually met around P2

Right, acute and obtuse angles

Smaller than a right angle: acute; bigger: obtuse.

How to do it

Method

Smaller than a right angle: acute; bigger: obtuse

Minute hand on 12, hour hand on 2: 2 steps < 3, acute

Another way

Set square

Other side outside the square: obtuse

In full

A right angle is like the corner of a book or a sheet of paper; so do a clock's hands with the minute hand on 12 and the hour hand on 3. Check with a set square (or paper folded twice into a right angle): line up the vertex and one side; if the other side lies along it, it's a right angle; inside it, smaller, it's acute; outside it, bigger but not yet a straight line, it's obtuse. Or think of a clock: hands 3 big steps apart make a right angle, fewer is acute, 4 or 5 is obtuse, and 6 is a straight line.

Worked examples

Have a go first, then open each one for the answer and the working.

  1. Example 1

    What kind of angle is this?

    • A. Right angle
    • B. Not an angle
    • C. Obtuse
    • D. Acute

    Choose the right answer

    Show the answer and working

    Answer: A. Right angle

    Check with a set square: matching is a right angle, smaller is acute, bigger is obtuse.

  2. Example 2

    How many right angles does this shape have?

    Show the answer and working

    Answer: 4 right angles

    Check each corner with a set square: 4 right angles.

  3. Example 3

    This angle is acute.

    True or false?

    Show the answer and working

    Answer: True

    An acute angle is smaller than a right angle: check with a set square.

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