Question

In the figure alongside, □LMNO is a cyclic quadrilateral ∠MLO = 100°, ∠OMN = 74° Find ∠MON​

Answer 1

Answer:

(i) ∠BAD+∠BCD=180° (opposite angles of a cyclic quadrilateral are supplementary).

∴100°+∠BCD=180°

∠BCD=80°

(ii) ∠ADC=∠BCD (Alt angles are equal)

∠ADC=80°

(iii) ∠ABC=∠BAD (Alt angles are equal)

∠ABC=100°