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Lines, Triangles and Circles · Question 55 of 67

Question 55

EasyOriginal question

AB is a diameter of a circle and C is another point on the circle. If ∠CAB=34∘\angle CAB = 34^\circ, what is ∠CBA\angle CBA?

Options for question 55

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. The angle in a semicircle is a right angle, so ∠ACB=90∘\angle ACB = 90^\circ.

  2. ∠CBA=180∘−90∘−34∘=56∘\angle CBA = 180^\circ - 90^\circ - 34^\circ = 56^\circ.

Worth noting

146° is 180∘−34∘180^\circ - 34^\circ, forgetting the right angle at C.

Concept
Angle in a semicircle is 90°
Typical time
40 s
Your time
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The rule this testsCircles
Practise this chapter →

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.