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Year 8 maths · L.22 · Angles and polygons

Missing exterior angle of a polygon

The exterior angles of any polygon add to 360°. Subtract the ones you know.

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  1. A polygon has 4 exterior angles. 3 of them measure 41°, 44° and 139°. What is the other exterior angle, in degrees?

    Answer: 136

  2. A polygon has 4 exterior angles. 3 of them measure 141°, 24° and 56°. What is the other exterior angle, in degrees?

    Answer: 139

  3. A polygon has 4 exterior angles. 3 of them measure 122°, 43° and 26°. What is the other exterior angle, in degrees?

    Answer: 169

Tip: The exterior angles of any polygon add to 360°. Subtract the ones you know.

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