The side of the small triangle that will correspond to the side of HI is side IK.
<h3>How to find corresponding side of similar triangles?</h3>
Similar triangles are triangles that have the same shape but different size.
In similar triangles, corresponding sides are always in the same ratio.
The corresponding angles are equal.
Therefore, the side of the small triangle that will correspond to the side of HI is side IK.
learn more on triangle here: brainly.com/question/26531534
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Answer: x = 150°
Step-by-step explanation:
The tangent intersects the circle's radius at a 90° angle, so ∠OAC = ∠OBC = 90°.
AOBC is a quadrilateral and we know that sum of interior angles of quadrilateral equals to 360°.
Now,
∠OAC + ∠OBC + ∠AOB + ∠ACB = 360°
90° + 90° + x + 30° = 360°
210° + x = 360°
x = 360° - 210°
x = 150°
