Answer:
A = 30 i hope this helps! :)
Step-by-step explanation:
a straight line is 180 degrees
we are given two angle measurements
measure of angle A = 6x - 18
measure of angle B = 14x + 38
so now we need to combine the equations together and have them equal 180 degrees
6x - 18 + 14x + 38 = 180
combine like terms
first the x values 20x - 18 + 38 = 180
now the regular numbers 20x + 20 = 180
subtract 20 from both sides of the equation 20x = 160
then divide both sides by 20 x = 8
now that we have the value of x, we can plug it into the equation for angle A
lets see the equation for angle A again
A = 6x - 18
plug in the x value to 6x
A = 48 - 18
combine like terms
A = 30
