Question

Find the angle measure x in each of the following figures.

Answer 1

$\left(a\right)$ By angle sum property of quadrilaterals,

$x+{70}^o+{60}^o+{90}^o={360}^o$

$x={140}^o$

$\left(b\right)$ By angle sum property of polygon,

$2x+{30}^o+{110}^o+{120}^o={540}^o$

$2x={280}^o$

$x={140}^o$