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Find the measure of x in the following figureGuys please answer I really beg you​

Answer»

-The Required value of x is 100.Explanation:-Given:-Measure of two EXTERIOR angles is 135° and 125° as in the figure.To Find:-The value of x.Concept Used:-LINEAR Pair:- Sum of angles MAKING an straight ANGLE is always equal to 180°.Exterior Angle Property:- The exterior angle of a triangle is always equal to sum of the two opposite interior angles.Now,By Linear Pair we get,↦ 135° + ∠1 = 180°.↦ ∠1 = 180 - 135°.↦ ∠1 = 45°.So we get the value of ∠1 = 45°.Again,↦ 125° + ∠2 = 180°.↦ ∠2 = 180° - 125°.↦ ∠2 = 55°.So we get the value of ∠2 = 180°.Therefore,By Exterior Angle Property we get,↦ x° = 45° + 55°.↦ x° = 100°.↦ x = 100.Therefore The Required Value Of x is 100.



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