Please help .

x = 67 degrees

Step-by-step explanation:

180 - 67 - 46 = 67

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°

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this