1.

11. In the given figure, find the value of x, if BC 11 DE and LABC = 150° and <BAD = 30°.150

Answer»

∠ABC + ∠ABG = 180° ( linear pair)∠ABG = 180° - 150° = 30°

Now, in ∆ ABG ∠A + ∠ABG + ∠AGB = 180°∠AGB = 180° - 60° = 120°

As given, BC || DE , and BC is part of CH therefore CH||ED, where AD is transversal.

So, ∠AGB = ∠GDE ( Alternate angle)

x = 120°

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