Question

ABCD is a cyclic quadrilateral. Lines AD and BC meet at point E. If

m∠BAD = 75◦ and ∠ADC = 100◦

, then find m∠AEB.​

Answer 1

Answer:

100 degrees

Step-by-step explanation:

(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°