Answer:
x = 13
y = 20
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
In line geometry, the oppositely directed angles are equal. According to the diagram shown;
4x = 6x - 26 (oppositely directed angles)
We can get the value of x from the equation as shown;
4x = 6x - 26
Subtract 6x from both sides
4x-6x = 6x-6x-26
-2x = -26
x = -26/-2
x = 13
Similarly:
6y+8 = 7y-12 (oppositely directed angles)
collect like terms
6y-7y = -12-8
-y = -20
multiply both sides by -1
-(-y) = -(-20)
y = 20
Hence x = 13 and y = 20
