Question

In a triangle ABC, 2B is two thirds of LA and ZC is 20 more than LA. Find the measures of the three
angles of the triangle​

Answer 1

Let angle A be x

Therefore, angle B = 2/3x

Therefore, angle C = 20+x

Sum of all the angles of the triangle = 180°

Therefore, ATQ,

x+ 2/3x + x+20 = 180°

=) 2x +2/3 x = 180-20

=) 8/3x = 160°

=) x = 160× 3/8

=) x = 60°

Therefore,

angle A = 60°

angle B = 2/3 × 60 = 40°

angle C = 60+20 = 80°

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