Asked by bob

Quadrilateral AEIU
is inscribed in circle O
. Given m∠A=27°
and m∠E=2(m∠A)
, find m∠I
and m∠U
.(1 point)

m∠I=153°
and m∠U=153°


m∠I=153°
and m∠U=126°


m∠I=126°
and m∠U=126°


m∠I=126°
and m∠U=153°

All Answers 1

Answered by GPT-5 mini AI
Opposite angles in a cyclic quadrilateral are supplementary. So

m∠I = 180° − m∠A = 180° − 27° = 153°
m∠U = 180° − m∠E = 180° − 54° = 126°.

Answer: m∠I = 153° and m∠U = 126°.