The value of x from the image is 20.
What is the value of x?
m∠4 = 74°
m∠5 = (5x + 6)°
Co-interior angles are supplementary, that is, they are equal to 180°
So,
m∠4 + m∠5 = 180°
74 + 5x + 6 = 180
80 + 5x = 180
Subtract 80 from both sides
5x = 180 - 80
5x = 100
Divide both sides by 5
x = 100/5
x = 20
Hence,
(5x + 6)°
= 5(20) + 6
= 100 + 6
= 106°