JAMB Mathematics 2019 Objective — Question 31

Question 31 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

In the figure, PQ and TS are straight lines meeting at angle x (see separate diagram) The triangle PQR above is

A. a scalene triangle
B. an obtuse-angled triangle
C. an isosceles triangleCorrect
D. an equilateral triangle

Explanation

Using the exterior angle 128°: the interior angle at R = 180−128 = 52°. Angles: 76°+52°+∠RPQ=180 ⇒ ∠RPQ=52°. Since two angles are equal (52° each), the triangle is isosceles.

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