Question

in triangle ABC , angle A +angle B = 80°and angle B +angle C =150° , find the measure of each angle of triangle ABC​

Answer 1

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Answer 2

Let the angles of ∆ be ‹A , ‹B and ‹C

where, ‹A + ‹B +‹C = 180° ---------(1)

Now,

‹A + ‹B = 80°

‹B = 80°- ‹A ----------(2)

putting eqn (2) in (1) we get

<A + 80°-<A +<C = 180°

<C = 100°

Now A/Q

‹B + ‹C = 150°

‹B = 150° - ‹C ----------(3)

putting eqn (3) in (1) we get

<A + 150° - <C + <C = 180°

< A = 30°

remaining angle <B =

100° + 30° + < B = 180°

< B = 50°