Question

Question 2 (iii)
Consider the following parallelograms. Find the values of the unknowns x,y,z
(iii)

Answer 1

(iii) $x={90}^{\circ }\left[Verticallyoppositeangles\right]y+x+{30}^{\circ }={180}^{\circ }\left[Anglesumpropertyofatriangle\right]\Rightarrow y+{90}^{\circ }+{30}^{\circ }={180}^{\circ }\Rightarrow y+{120}^{\circ }={180}^{\circ }\Rightarrow y+{180}^{\circ }-{120}^{\circ }={60}^{\circ }z=y={60}^{\circ }\left[Alternateangles\right]$