Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.

An interior angle is an angle formed inside a polygon by two of its edges.

An exterior angle is an angle on the outside of a polygon between an extension of an edge and the adjacent edge.

Problem solving with angles

Maths

In this unit, pupils applied their understanding of angles to solve increasingly complex problems. In the future unit, pupils will use their mathematical reasoning to derive and use various circle theorems. 

In the prior unit, pupils learnt how to identify corresponding, alternate and co-interior angles. In this unit, pupils use their knowledge of these angles to reason through and solve more complicated problems.

Angles

The diagram is not drawn accurately. AC is a line segment and ∠DBA : ∠CBD = 3 : 1.  Which equation can be formed from this information?

The sum of exterior angles for any polygon sum to...

Co-interior angles between parallel sides

Which of these describe angles that are definitely equal to each other?

What do the interior angles of a 72 sided polygon sum to?

Find the value of $$x$$. (Note: The diagram is not drawn to scale)

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