Answer:
x = 58
Step-by-step explanation:
∠A = 66
∠H = 56
∠K = x
We know that two lines are parallel.
If two lines are parallel corresponding angles are equal.
In the given figure,
∠K and ∠I are corresponding angles.
∠K = ∠I = x
∠A, ∠l, and ∠H are interior angles of a triangle.
Sum of interior angles of a triangle is supplementary ( = 180 )
x + 66 + 56 = 180
x = 180 - 66 - 56
= 180 - 122
x = 58
Hence,
The measure of x is 58.
