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Find the value of the unknowns x and y in the following diagrams?
Asked by Martin Last Modified
Answer 
Tasneem
The sum of all interior angles of a triangle is 180°. By using this property, these problems can be solved as follows.
(i) x + 50° + 60° = 180°
x + 110° = 180°
x = 180° − 110° = 70°
(ii) x + 90° + 30° = 180°
x + 120° = 180°
x = 180° − 120° = 60°
(iii) x + 30° + 110° = 180°
x + 140° = 180°
x = 180° − 140° = 40°
(iv) 50° + x + x = 180°
50° + 2x = 180°
2x = 180° − 50° = 130°
(v) x + x + x = 180°
3x = 180°
(vi) x + 2x + 90° = 180°
3x = 180° − 90° = 90º
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