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Find the value of the unknown exterior angle x in the following diagrams?
(i) x = 50° + 70° (Exterior angle theorem)
x = 120°
(ii) x = 65° + 45° (Exterior angle theorem)
= 110°
(iii) x = 40° + 30° (Exterior angle theorem)
= 70°
(iv) x = 60° + 60° (Exterior angle theorem)
= 120°
(v) x = 50° + 50° (Exterior angle theorem)
= 100°
(vi) x = 30° + 60° (Exterior angle theorem)
= 90°
Find the value of the unknown interior angle x in the following figures?
(i) x + 50° = 115° (Exterior angle theorem)
x = 115° − 50° = 65°
(ii) 70° + x = 100° (Exterior angle theorem)
x = 100° − 70° = 30°
(iii) x + 90° = 125° (Exterior angle theorem)
x = 125° − 90° = 35°
(iv) x + 60° = 120° (Exterior angle theorem)
x = 120° − 60° = 60°
(v) x + 30° = 80° (Exterior angle theorem)
x = 80° − 30° = 50°
(vi) x + 35° = 75° (Exterior angle theorem)
x = 75º − 35º = 40°
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