Question

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

Answer 1

$\left(v\right)y={112}^{\circ }\left[Oppositeanglesareequalinaparallelogram\right]{40}^{\circ }+y+x={180}^{\circ }\left[Anglesumpropertyofatriangle\right]\Rightarrow {40}^{\circ }+{112}^{\circ }+x={180}^{\circ }\Rightarrow {152}^{\circ }+x={180}^{\circ }\Rightarrow x={180}^{\circ }-{152}^{\circ }={28}^{\circ }Andz=x={28}^{\circ }\left[Alternateangles\right]$