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=126° and m∠U=153°
m angle upper I equals 126 degrees and m angle upper U equals 153 degrees
m∠I=153° and m∠U=153°
m angle upper I equals 153 degrees and m angle upper U equals 153 degrees
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=126°
m∠I=126° and m∠U=126°
Identify the true statement about inscribed angles and their intercepted arc.(1 point)
Responses
The intercepted arc is half the measure of the inscribed angle.
The intercepted arc is half the measure of the inscribed angle.
The inscribed angle is twice the measure of its intercepted arc.
The inscribed angle is twice the measure of its intercepted arc.
The intercepted arc is equal in measure to its inscribed angle.
The intercepted arc is equal in measure to its inscribed angle.
The intercepted arc is twice the measure of the inscribed angle.
The intercepted arc is twice the measure of the inscribed angle.
Draw the following diagram: quadrilateral ABCD inscribed in circle E . The mAB=54° , mBC=115° , and mCD=86° . Select the true statement.(1 point)
Responses
m∠D=169°
m angle upper D equals 169 degrees
mAD=115°
m Modifying above upper A upper D with arc equals 115 degrees
m∠B=95.5°
m angle upper B equals 95.5 degrees
mADC=84.5°
m∠B=95.5°
Quadrilateral PQRS is inscribed in circle O . Opposite angles P and R measure (x+16)° and (6x−4)° , respectively. Determine the measure of the smaller angle.(1 point)
Responses
40°
40°
24°
24°
56°
56°
20°