GCE Mathematics 2024 Objective — Question 38

Question 38 of 50 from the General Certificate of Education (GCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

Find the value of x in the diagram.

A. A. 60°
B. B. 65°
C. C. 120°Correct
D. D. 125°

Explanation

Using the exterior angle theorem (exterior angle of a triangle equals the sum of the two remote interior angles) applied to the given parallel lines QR//MS with angles 65° and 55°: x=65°+55°=120°.

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