Mathematics 0580 · IGCSE · Angles

Angles — practice question

In the diagram, $AB$ runs parallel to $PQ$. The lines $AQ$ and $PB$ meet at $X$, and $AX = XQ$.
(main)[4]

Angle $BAX$ = Angle [BLANK] since [BLANK]. Angle $AXB$ = Angle [BLANK] since [BLANK]. Triangle $ABX$ is congruent to triangle $QPX$ by the congruency criterion [BLANK]. $PX$ = [BLANK] since the triangles are congruent.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $PQX$ is alternate to $PXQ$ and (vertically) opposite oe

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