In Triangle A B C, what is the value of x?

Answer:
x = 70
Step-by-step explanation:
180 - 112 = 68
2x + 2x + 12 + 68 = 360
4x + 80 = 360
4x = 360 - 80
4x = 280
x = 280/4
x = 70
2x = 2*70 = 140
2x + 12 = 2*70 + 12 = 152
180 - 140 = 40
112 + 40 = 152
180 - 152 = 28
112 + 28 = 140
The value of x is 70
External angle B = 2x°
∴ ∠ABC = (180 - 2x)°
Again External angle C = (2x + 12)°
∴ ∠ACB = ( 180 - 2x - 12)° = (168 - 2x)°
∴ 112 + (180 - 2x) + (168 - 2x) = 180
⇒ 4x = 280
⇒ x = 70
∴ The value of x is 70
Find out more information about the measure of angles of a triangle here: https://brainly.com/question/25215131
#SPJ2