Question

Find the angle x in the given figure.
[3 MARKS]

Answer 1

Concept: 1 Mark
Application: 2 Marks
$\angle BCD={180}^{\circ }-{70}^{\circ }={110}^{\circ }\left[Linearpair\right]$

$\angle EDC={180}^{\circ }-{60}^{\circ }={120}^{\circ }\left[Linearpair\right]$

The sum of the angles of a pentagon is ${540}^{\circ }$
Hence,
$\angle A+\angle B+\angle C+\angle D+\angle E={540}^{\circ }$
${30}^{\circ }+x^{\circ }+{110}^{\circ }+{120}^{\circ }+x^{\circ }={540}^{\circ }$
$2x^{\circ }={280}^{\circ }$
$x={140}^{\circ }$