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

Full question

Cyclic ABCD has A=74°, B=159°. Find x at D.

OABCDA=74°; B=159°D=x; C=yDiagram not to scale

Step-by-step solution

  1. Opposite angles of a cyclic quadrilateral add to 180°.

  2. Substitute the given numbers into the formula.

    180−159
  3. Calculate this operation before combining the remaining terms.

    180−159=21
  4. The required result is shown below. Unit: °

    21

Answer

The final answer is shown below.

21