The value of x in the figure is 67°.
Step-by-step explanation:
As per the given figure,
HI and JK parallel to each other and JH is the traversal
So, ∠HJK = ∠AHI as they are corresponding angle.
Here, ∠HJK = 67°
∠AHI = 67°
Now, in Δ AHI sum of all the angles is 180°
and ∠HAI = 46° and ∠AHI = 67°
∠HAI + ∠AHI + ∠AIH = 180°
or, 46°+67°+∠AIH = 180°
or, ∠AIH = 67°
Hence,
∠AIH = 67°
