Question

Find the value of the unknown exterior angle x in the following diagrams:

Answer 1

(i) \(x = 50° + 70°\) (Exterior angle theorem) 
\(x\) = \(120°\)

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(ii) \(x = 65° + 45°\) (Exterior angle theorem)
= \(110°\)

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(iii) \(x = 40° + 30°\) (Exterior angle theorem)
= \(70°\)

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(iv) \(x = 60° + 60°\) (Exterior angle theorem)
= \(120°\)

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(v) \(x = 50° + 50°\) (Exterior angle theorem)
= \(100°\)

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(vi) \(x = 30° + 60°\) (Exterior angle theorem)
= \(90°\)