The value of x if ∠A and ∠B are supplementary is 35°
Two angles are said to be supplementary if their sum results in 180°
Here ∠A = (3x - 9)°
and ∠B = (2x - 14)°
Since ∠A and ∠B are supplementary
∠A + ∠B = 180°
Hence, by putting the value of ∠A and ∠B in the equation we get the linear equation
3x - 9 + 2x + 14 = 180
adding the variables, i.e x terms, and the constants, i.e the numbers up we get
or, 5x + 5 = 180
Taking 5 to RHS we get
or, 5x = 180 - 5
or, 5x = 175
or, x = 175/5
or, x = 35
x = 35°
To learn more about linear equations visit
https://brainly.com/question/31437
