Question

Find the lettered angle in each case.
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Answer is : x=40​

Answer 1

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In ∆ABC,

∠A + ∠B + ∠C = 180° (Angle sum property of ∆)

50° + 90° + ∠C = 180°

∠C = 180° - 140°

∠C = 40°

In ∆DEC,

∠D + ∠E + ∠C = 180° (Angle sum property of ∆)

x + 100° + 40° = 180°

x = 180° - 140°

x = 40°

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