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Year 9 maths · L.11 · Angles and polygons

Missing angle in a pentagon

Find the total of the interior angles, then subtract the angles you know.

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  1. Four angles of a pentagon measure 137°, 168°, 48° and 167°. What is the measure of the remaining angle, in degrees?

    Answer: 20

  2. Four angles of a pentagon measure 65°, 130°, 111° and 214°. What is the measure of the remaining angle, in degrees?

    Answer: 20

  3. Four angles of a pentagon measure 101°, 104°, 73° and 242°. What is the measure of the remaining angle, in degrees?

    Answer: 20

Tip: Find the total of the interior angles, then subtract the angles you know.

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