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Question P5 Angle and shape properties

isosceles triangle angles

An isosceles triangle has a vertex angle of 52°. Find each equal base angle.

The two marked sides of an isosceles triangle are equal.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. Equal sides face equal angles. Subtract the vertex angle, then divide the remainder by two.

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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