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Question
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)
Responses

m∠I=153° and m∠U=126°
m angle upper I equals 153 degrees and m angle upper U equals 126 degrees

m∠I=126° and m∠U=153°
m angle upper I equals 126 degrees and m angle upper U equals 153 degrees

m∠I=126° and m∠U=126°
m angle upper I equals 126 degrees and m angle upper U equals 126 degrees

m∠I=153° and m∠U=153°

Answer 1

m∠A + m∠I = 180° and m∠E + m∠U = 180° (opposite angles in a cyclic quadrilateral are supplementary).
m∠I = 180° − 27° = 153°; m∠E = 2·27° = 54°, so m∠U = 180° − 54° = 126°.

Answer: m∠I = 153°, m∠U = 126°.