GCE Mathematics 2022 Objective — Question 19

Question 19 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

In the diagram, |XY|=|YZ| and angle XYZ = 130 degrees. Find the value of y.

• A. 50 degrees
• B. 65 degrees
• C. 25 degrees
• D. 155 degreesCorrect

Explanation

Since |XY|=|YZ|, base angles are equal: let each be x. 130+x+x=180, so x=25 degrees. y is the exterior angle at Z on the straight line WZX: y = 180-25 = 155 degrees.

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