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Question
The following figure is parallelogram. Find the degree value of the unknown x, y, z.
Solution
\[y = 112° (\text{ opposite angles are equal in a parallelogram })\]
\[\text{ In } ∆ UTW : \]
\[x + y + 40° = 180° (\text{ angle sum property of a triangle })\]
\[x = 180°- (112° - 40°) = 28°\]
\[\text{ Bottom left vertex } = 180°- 112°= 68°\]
\[ \therefore z = x = 28° (\text{ alternate angles })\]
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