Primary 6 · Angles · Question type 8.3

P6 Angles: Angles in a Quadrilateral

Read the marks on a quadrilateral before choosing a property. Arrowheads and the small box show different facts.

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Primary 6, on the MOE Primary Mathematics syllabus.

In the Angles chapter8 question types · see the chapter

The lesson · 2 minutes 15 seconds

How do you find angles in P6 quadrilaterals?

Watch: a parallelogram with 116° at one corner

Another worked example

A worked example

MNOP is a rhombus and its diagonal MO is drawn. Angle PMO = 25°. Find angle NOP.

The working · Four lines

The step-by-step working

Written out in full, the way it should appear on paper.

∠POM = ∠PMO = 25° (base angles of isosceles triangle MPO, MP and PO equal)
∠MPO = 180° - 25° - 25° = 130° (angle sum of triangle MPO)
∠MNO = ∠MPO = 130° (opposite angles of a rhombus)
∠NOP = 180° - 130° = 50° (angles between the parallel sides MN and PO)

The answer is 50°.

Practise · Modelled on top school exam questions

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Opposite angles in a rhombus

Opposite angles in a rhombus are equal, so read the matching corner.

JKLM is a rhombus. Angle JKL = 58°. Find angle JML.

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∠JML = ∠JKL = 58° (opposite angles of a rhombus)

Ans: 58°

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