Question

10. In A ABC, angle B= A+C/2 and A:C=1:2. Find the
measure of each angle of triangle ABC.​

Answer 1

Answer:

$a + b + c = 180$

$2b = a + c$

$2b = x + 2x$

$2b = 3x$

$3x + 3x \div 2 = 180$

$6x + 3x = 180 \times 2$

$9x = 360$

$x = 40$

$b = 3 \times 40 \div 2$

$b = 60$

$c = 80$