Let us first solve the triangle on the right side involving angle x.
Recall that the sum of angles in a triangle must be equal to 180°.
So we can write

Therefore, the angle x is equal to 61°
Now let us solve the triangle involving angle S and T.
Again applying the property that the sum of angles in a triangle must be equal to 180°

As you can see, the angle S and T form a straight line angle.
Recall that a straight line angle is equal to 180°

Therefore, angle S = 75° and angle T = 105°
Now let us solve the remaining figure.
On the right side of the figure, apply the property that the sum of angles in a triangle must be equal to 180°

As you can see, the angles A and B are opposite angles.
We know that opposite angles are equal.

Now we know the angle B so let us apply the property that the sum of angles in a triangle must be equal to 180°

Therefore, angle A = 98° and angle B = 98° and angle C = 34°