BECE Mathematics 2026 Paper

Concept:1. Alternate angles between parallel lines are equal.2. In an isosceles triangle the base angles are equal.3. The angles of a triangle add up to $180^\circ$.Solution:The top vertex of the triangle lies on the upper line and the base lies on the lower line, and the two lines are parallel.The $56^\circ$ angle at the top lies between the upper line and the right side of the triangle. The base angle at the bottom right lies between the same side and the lower line, on the other side of it. These are alternate angles, so the bottom-right base angle $= 56^\circ$.The triangle is isosceles (the two marked sides are equal), so the bottom-left base angle is also $56^\circ$.Angle sum of the triangle:$2y + 56^\circ + 56^\circ = 180^\circ$$2y = 180^\circ - 112^\circ = 68^\circ$$y = 34^\circ$Key point: The angle at the top of the triangle is $2y$, not $y$. After finding $2y = 68^\circ$, remember to halve it.Answer:Option C ($34^\circ$)