BECE Mathematics 2020 Paper

Concept:An isosceles triangle has two equal sides, so its base angles are equal.Angles on a straight line add up to $180^\circ$.Explanation:The diagram shows a triangle with two equal sides.Therefore, the base angles opposite those equal sides are equal.So, $\angle BAC = \angle ABC = 56^\circ$.The marked angle $x$ and the angle $56^\circ$ lie on a straight line.Hence, $x + 56^\circ = 180^\circ$.Solving for $x$, we get:$x = 180^\circ - 56^\circ = 124^\circ$.Answer:$x = 124^\circ$, so the correct option is D.