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Question
Find the value of x in the given triangle
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Solution
In ∆ABC, given B = 65°,
AC is extended to L, the exterior angle at C, ∠BCL = 135°
Exterior angle is equal to the sum of opposite interior angles.
∠A + ∠B = ∠BCL
∠A + 65° = 135°
∠A = 135° – 65°
∴ ∠A = 70°
x + ∠A = 180° ...[∵ linear pair]
x + 70° = 180° ...[∵ ∠A = 70°]
x = 180° – 70°
∴ x = 110°
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