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Question P5 Angle and shape properties

unknown angle in a quadrilateral

Three interior angles of a quadrilateral are 70°, 115° and 80°. Find the fourth angle.

The four interior angles of a quadrilateral total 360°.x

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About this method

Angle and shape properties

Mark the shape property first, then subtract known angles from the relevant total.

In this one. A quadrilateral can be split into two triangles, which explains its 360° angle total.

Name the angle totalstraight lineknown + unknown = 180 degreesaround pointall sectors = 360 degrees

How to spot it

Look for a named quadrilateral like a rhombus or parallelogram, plus two straight lines crossing inside or through it. Words like "straight line" and "collinear" point to this move.

Common mistake

Children mix up which angle sits opposite which once lines cross at a point away from the main shape. Trace each ray back to its two labelled ends before deciding what faces what.

Practise a similar question

Standard Three angles around a point are 85°, 65° and 120°. Find the remaining angle.
All 21 with this pattern →
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