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Lines, Triangles and Circles · Question 15 of 67

Question 15

EasyOriginal question

In triangle PQR, ∠P=48∘\angle P = 48^\circ and ∠Q=67∘\angle Q = 67^\circ. What is ∠R\angle R?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. The angles of a triangle add up to 180°.

  2. ∠R=180∘−48∘−67∘=65∘\angle R = 180^\circ - 48^\circ - 67^\circ = 65^\circ.

Worth noting

115° is ∠P+∠Q\angle P + \angle Q, which is the exterior angle at R, not ∠R\angle R itself.

Concept
Angle sum of a triangle
Typical time
40 s
Your time
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