Find the value of the unknowns x and y in the following diagrams:
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Solution
y = 80° (Vertically opposite angles)
y + x + 50° = 180° (Angle sum property)
80° + x + 50° = 180°
x + 130º = 180°
x = 180° − 130º = 50°
Concept: Angle Sum Property of a Triangle
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