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Home > Maths I > Measure and Shape > Angle and line facts

Maths I

Angle and line facts

Right angles, straight angles and full turns (continued)

Full turn

A full turn is an angle of 360°.

360 ^\circ

A circle formed round a short horizontal line, the left end of which is at the circle's centre. The circle's angle is 360 degrees.

Example 1

Question
Three lines emerging from the same point, at different angles. One angle is 100 degrees, one angle is 230 degrees, and the remaining angle is z degrees.

In the diagram above a full turn is split up into 3 angles, {z ^\circ}, {100 ^\circ} and {230 ^\circ}.

What is the value of {z ^\circ}?

Answer

We know that {z + 100 + 230 = 360}

{z + 330 = 360}

So, {z = 30}

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