JSCE Mathematics 2024 Objective — Question 8

Question 8 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

Calculate the value of x in the five-sided canopy that is shown below;

• A. 25°
• B. 55°Correct
• C. 66°
• D. 92°

Explanation

Interior angles of a pentagon add up to 540°. Taking the 80° mark as an exterior angle (interior 100°): x + 3x + 2x + 110 + 100 = 540, so 6x = 330 and x = 55°.

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