Mathematics 10 — Exercise 9.2 · Q3 (iii), x

Full question

XY is tangent at Y. Find x=OYX.

OYX∠XOY=62°; x=OYX; y=OXYDiagram not to scale

Step-by-step solution

  1. A radius is perpendicular to the tangent at its point of contact, so the contact angle is 90°.

  2. Substitute the given numbers into the formula.

    90

  3. The required result is shown below. Unit: °

    90

Answer

The final answer is shown below.

90