Answer:
k = 62
Step-by-step explanation:
x + 97 + 149 + 55 = 360 {sum of all angles of quadrilateral}
x + 301 = 360
x = 360 - 301
x = 59
l // m and AB is transversal.
∠1 = x {alternate interior angles}
∠1 = 59
ΔABC is an isosceles triangle.
m∠1 = m∠2 = 59
In ΔABC ,
59 + 59 + k = 180 {angle sum property of triangle}
118 + k = 180
k = 180- 118
k = 62
