Question

Find x in the given figure.
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Answer 1

Answer:

x = 95

Step-by-step explanation:

In △ FDE,

∠F + ∠D +∠E = 180 (angle sum property)

∠F + 100 + 30 = 180

∠F = 180 - 130 = 50

In △ ABC,

∠A + ∠B + ∠C = 180 (angle sum property)

35 + 110 + ∠C = 180

∠C = 180 - 145 = 35

Now in △GFC,

∠G + ∠F + ∠C = 180 (angle sum property)

∠G + 50 + 35 = 180

∠G = 180 - 85

∠G = 95

Now ∠x = ∠G (vertically opposite angles)

∠x = 95

Hope it helps :)