ECZ 2015 · O-Level Paper 1 — Similarity and Congruency

In the triangle shown, PQ = QR, angle QPR = (3x + 31)° and angle QRP = (91 − 2x)°. Find the size of angle PQR.

Diagram for ECZ 2015 · O-Level Paper 1
  • A. 46°
  • B. 67°
  • C. 12°
  • D. 44°

Verified working — step 1

Equal sides PQ and QR make the base angles equal - equate them to find x, then let the triangle's 180° give the apex.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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