Question

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

m∠I=153°
𝑚
∠
𝐼
=
153
°
and m∠U=153°
𝑚
∠
𝑈
=
153
°

m angle upper I equals 153 degrees and m angle upper U equals 153 degrees

m∠I=153°
𝑚
∠
𝐼
=
153
°
and m∠U=126°
𝑚
∠
𝑈
=
126
°

m angle upper I equals 153 degrees and m angle upper U equals 126 degrees

m∠I=126°
𝑚
∠
𝐼
=
126
°
and m∠U=126°
𝑚
∠
𝑈
=
126
°

m angle upper I equals 126 degrees and m angle upper U equals 126 degrees

m∠I=126°
𝑚
∠
𝐼
=
126

Answer 1

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

So m∠I = 153° and m∠U = 126°.