Mathematics 10 — Exercise 9.1 · Q5

Full question

Angle XYZ=85°. Find the central angle x=XOZ standing on the same arc XZ.

OXYZ∠XYZ=85°x=∠XOZDiagram not to scale

Step-by-step solution

  1. The angle at the centre is twice the angle at the circumference standing on the same arc.

  2. Substitute the given numbers into the formula.

    2×85

  3. Calculate this operation before combining the remaining terms.

    2×85=170

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

    170

Answer

The final answer is shown below.

170