6. (a) In a AABC, ZC is 9º more than 2B, and ZB is 2° less than thre

1.	6. (a) In a AABC, ZC is 9º more than 2B, and ZB is 2° less than three times ZA. Find the angles of thetriangle.
Answer» let angle A = xangle B = 3x -2angle C = 3x -2 +9 = 3x + 7 Now, angle A + angle B + angle C = 180° subsitue value of A, B and C: x + 3x -2 + 3x + 7 = 1807x + 5 = 1807x = 175x = 175/7x = 25 Now ;angle A = 25°angle B = 3 × 25 -2 = 73°angle C = 73 + 9 = 82°

6. (a) In a AABC, ZC is 9º more than 2B, and ZB is 2° less than three times ZA. Find the angles of thetriangle.

Answer»

let angle A = xangle B = 3x -2angle C = 3x -2 +9 = 3x + 7

Now, angle A + angle B + angle C = 180°

subsitue value of A, B and C:

x + 3x -2 + 3x + 7 = 1807x + 5 = 1807x = 175x = 175/7x = 25

Now ;angle A = 25°angle B = 3 × 25 -2 = 73°angle C = 73 + 9 = 82°