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Lines, Triangles and Circles · Question 2 of 67

Question 2

EasyOriginal question

An angle is 38° less than its supplement. What is the angle?

Options for question 2

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Let the angle be xx. Its supplement is 180∘−x180^\circ - x.

  2. x=(180∘−x)−38∘x = (180^\circ - x) - 38^\circ, so 2x=142∘2x = 142^\circ and x=71∘x = 71^\circ.

  3. Check: the supplement is 109°, and 109∘−71∘=38∘109^\circ - 71^\circ = 38^\circ.

Worth noting

109° is the supplement itself, and 26° comes from using 90° (complement) instead of 180°.

Concept
Supplementary angles add up to 180°
Typical time
40 s
Your time
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The rule this testsLines and angles
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Ten questions from Lines, Triangles and Circles, at your own pace.

Practise this chapter →

Ten questions from Lines, Triangles and Circles, at your own pace.