Angles and Arcs in a Circle Hard

What is the value of x?

• 37

• 72

• 108

• 18

Match the following

• 64^o

• measure of arc ST

• 32^o

• 58^o

• 180^o

• measure of arc RS

• 116^o

• measure of arc RST

Find the measure of arc RT.

• 142

• 98

• 155

• 187

If minor arc AC = 96° , what is the measure of ∠ ABC?

• 53°

• 64°

• 72°

• 84°

Arc AB and Arc BC are​ ​ (a)   . Arc AB equals ​ (b)   and Arc BC equals ​ (c)   .

• congruent

• not congruent

• 123

• 246

AXB is a

(a)  

• Minor arc

• Major arc

• Inscribed angle

Find the missing angles or arcs.

Match the following

• 47

• m<2

• 52

• m<1

• 104

• arc EF

Answer explanation

arc EF = Add 58+104+94=256. Then 360 - 256 = 104

m<1 = 94/2 = 47

m<2= 104/2 = 52

AXB is a

• Minor arc

• Major arc

• Inscribed angle

Given AB and MN are diameters of circle E. Find the measure of arc AC.