JAMB 1995 · UME · Q26

Determine the value of xx in the figure.

81°53°x
Worked solution (try it first)
  1. Angles in triangle ABCABC add up to 180∘180^\circ: ∠ABC=180∘−81∘−53∘\angle ABC = 180^\circ - 81^\circ - 53^\circ
    =46∘= 46^\circ.
  2. ABCDABCD is a cyclic quadrilateral, and BB and DD are opposite vertices.
  3. Opposite angles of a cyclic quadrilateral add up to 180∘180^\circ: x=180∘−46∘=134∘x = 180^\circ - 46^\circ = 134^\circ, option A.

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