Mathematics 0580 · IGCSE · Angles

Angles — practice question

A quadrilateral is shown in a diagram. Its interior angles are marked as $4x^{\circ}$, $(3x+75)^{\circ}$, $(87-x)^{\circ}$, and one right angle ($90^{\circ}$). The drawing is not to scale.
(main)[4]

Determine the value of $x$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set up the equation $4x + 3x + 75 + 87 - x + 90 = 360$

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