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JSCE Mathematics 2022 Theory — Question 5

Question 5 of 5 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2022 Theory paper, with the correct answer and a full explanation.

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2(c) Calculate the unknown angles a and b in the diagram above. (XY and PQ are parallel lines, with 45° at Y and 55° at Q.)

Diagram for question 5

Model answer

Draw a line through the vertex parallel to XY and PQ. Alternate angles split angle a into 45° and 55°. a = 45° + 55° = 100° b is the reflex angle at the same point: b = 360° - 100° = 260°

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