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Year 10 maths · A.4 · Triangles

Use the exterior angle of a triangle

An exterior angle equals the sum of the two remote interior angles.

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  1. An exterior angle of a triangle is 127°. One remote interior angle is 58°. What is the other remote interior angle?

    Answer: 69

  2. An exterior angle of a triangle is 84°. One remote interior angle is 54°. What is the other remote interior angle?

    Answer: 30

  3. Two remote interior angles of a triangle are 50° and 49°. What is the exterior angle at the third vertex?

    Answer: 99

Tip: An exterior angle equals the sum of the two remote interior angles.

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