Question

Question 7 (a)
(a) Find x+y+z

Answer 1

(a) Since sum of supplementary angles is ${180}^{\circ }$
$\therefore {90}^{\circ }+x={180}^{\circ }\Rightarrow x={180}^{\circ }-{90}^{\circ }={90}^{\circ }Andz+{30}^{\circ }={180}^{\circ }\Rightarrow z={180}^{\circ }-{30}^{\circ }={150}^{\circ }Alsoy={90}^{\circ }+{30}^{\circ }={120}^{\circ }\left[Exteriorangleproperty\right]\therefore x+y+x={90}^{\circ }+{120}^{\circ }+{150}^{\circ }={360}^{\circ }$