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Question P5–P6 Angle chasing

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Angles on a line — two equal ones and 62°

Two equal angles sit on a straight line together with a third angle of 62 degrees. Find the size of each equal angle.

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Answer

59° each.

✎  14 practice questions
About this method

Angle chasing

One angle gives you the next, until you reach the angle asked for.

In this one. Angles on a straight line add up to 180°, so take away the angle you know and let the two equal angles share what is left — half each.

62°1u1uthe pair share what is left: 118 ÷ 2 = 59°

How to spot it

A figure has several angles marked with only one or two values given, and words like 'isosceles', 'parallel', or 'straight line' point to which rule to use first.

Common mistake

Children apply an angle rule to the wrong triangle or the wrong straight line in a crowded figure, or stop one step before the angle actually asked for.

Practise a similar question

Standard In triangle PQR, angle P = 48 degrees and angle Q is twice angle R. Find the size of angle R.
More about Angle chasing →
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