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Question
In the given figure find the value of x
Solution
For ∆LNM, ∠LMK is the exterior angle at M
Exterior angle = sum of opposite interior angles
∠LMK = ∠MLN + ∠LNM
= 26° + 30°
= 56°
∠JMK = 56° ...[∵ ∠LMK = ∠JMK]
x is the exterior angle at J for ∆JKM
∴ x = ∠JKM + ∠KMJ ...[∵ Sum of interior opposite angles]
x = 58° + 56° ...[∵ ∠JMK = 56°]
x = 114°
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