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23. In ΔABC if LA + LB = 125° and LA + LC = 113°, then LA = ?

Answer»

In triangle sum of all angles = 180

Then,Angle A + Angle B + Angle C = 180.....(1)

Given,Angle A + Angle B = 125.....(2)Angle A + Angle C = 113.....(3)

Add eq(2) and eq(3), we get2Angle A + Angle B + Angle C == 238......(4)

Subtract eq(1) from eq(4)Angle A = 238 - 180 = 58



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