Question

What is the value of x? image below

Answer 1

Angle HJK is given and is 63 degrees, then angle HJK is a number added to 63 that makes 180 degrees. Angle HJK is 117. That means angle AHI is a number plus 117 = 180. Angle AHI is 63.
A triangle makes 180 degrees total no matter what so if we have two angle measures we can add them and subtract from 180. 63 + 45 = 108. 180-108= 72 degrees :)

Answer 2

Angle x = 72

Explanation:

Angle AHI = Angle HIK = 63

(This is because the two angles are corresponding angles, HI//JK)

Angle x = 180 - 63 - 45

= 72