Question

In triangle ABC , LA + LB = 110° , LB + LC = 132.
find LA ,LB and LC

Answer 1

GIVEN LA +LB = 110°------- (1)

LB +LC = 132 ------(2)

BY ANGLE SUM PROPERTY

LA + LB + LC = 180° ------(3)

putting the value of equation (1)

LA +LB+LC = 180°

110° + LC = 180°

LC = 180° - 110°

LC = 70°

NOW , PUT THE VALUE OF LC IN EQUATION (2)

LB +LC = 132°

LB + 70°=132

LB = 132° - 70°

LB = 62°

WE HAVE THE VALUE OF LB AND LC , SO WE CAN FIND THE VALUE OF LA BY MANY WAYS...

putting the value of LB in equation (1)

LA+LB = 110°

LA = 110° - LB

LA = 110° - 62°

LA = 48°

OR

LA +LB +LC = 180°

LA + 62° + 70° = 180°

LA = 180° - 132°

LA = 48°