Question

Find the marked unknown angles:

Answer 1

Finding the angle $z$ in the given figure

Since the sum of all angles of a triangle is ${180}^{\circ }$.

Therefore,
${72}^{\circ }+{70}^{\circ }+z={180}^{\circ }$
$\Rightarrow {142}^{\circ }+z={180}^{\circ }$
$\Rightarrow z={180}^{\circ }-{142}^{\circ }$
$\Rightarrow z={38}^{\circ }$

Hence, the value of the unknown angle $\left(z\right)$ is ${38}^{\circ }$.