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P5 Angle and shape properties

triangle angle total

Two angles of a triangle are 38° and 92°. Find the third angle.

The three interior angles of a triangle total 180°.x
One step of the worked solution to triangle angle total, drawn in pencil.
5 steps, drawn in pencil

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The pattern behind it: Angle and shape properties

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

In this one. Use each interior angle once. The total is always 180°, whatever the triangle’s shape.

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.

Try one like it

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

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

A PDF, and a note when new solutions go up.