Answer:
x = 2
Step-by-step explanation:
According to the inscribed Angle Theorem, the size of an inscribed angle = ½(measure of the intercepted arc)
m<L = (7x + 9)° is an inscribed angle
m(KM) = 46° is its intercepted arc
Therefore:
7x + 9 = ½(46)
Multiply both sides by 2
2(7x + 9) = 46
14x + 18 = 46
14x + 18 - 18 = 46 - 18
14x = 28
14x/14 = 28/14
x = 2
