Angles (Edexcel IGCSE Maths): Exam Questions

$ABC$ is parallel to $DEFG$ $BC=BF$ Angle $ABE=39^{\circ}$ Angle $CFG=63^{\circ}$

Work out the size of angle $x$. Give a reason for each stage in your working.

$ABCD$and $EFGH$are straight lines. $KFBJ$and $MGCL$are parallel straight lines.

$\mathrm{angle}ABJ=125^{\circ}\mathrm{angle}BFG=32^{\circ}\mathrm{angle}FGM=x^{\circ}\mathrm{angle}LCD=y^{\circ}$

Write down the value of $x$

(i) Work out the value of $y$

(ii) Give a reason for your answer to (b) (i)

Write down the mathematical name of the angle marked $x$

The diagram shows two triangles $ABE$ and $ECD$

Triangle $ABE$ is isosceles with $AE=EB$ $ADE$ and $EBC$ are straight lines.

Angle $CDE=42^{\circ}$ The reflex angle $ECD=296^{\circ}$ Angle $BAE=x^{\circ}$

Work out the value of $x$