To solve the problem given, we will follow the steps below:
The two angles formed a straight line which is 180°
This implies that;
4x + (5x-27) = 180
4x + 5x - 27 = 180
9x - 27 = 180
add 27 to both-side of the equation
9x - 27 + 27 = 180 + 27
9x =207
Divide both-side of the equation by 9
9x/9 = 207/9
x = 23
Substitute the value of x into 4x and (5x-27)
The first angle = 4x = 4(23) = 92
The second angle is 5x-27 = 5(23) - 27 = 115-27 =88
The measure of the two angles are: 92o and 88n
by 9°°
9x/9 = 207/9
x = 23