Quiz about Circle, Inscribed angle, Central angle and iintercepted arc.

Question 1

Given that P is the center of the circle and $$m\angle ABC=60\degree$$ . Find the measure of $$m\angle APC$$ .

Accepted Answer

1200

Answer

300

Answer

600

Answer

1000

Question 2

Given that P is the center of the circle and $$m\angle APC=140\degree$$ . Find the measure of $$m\angle ABC$$

Accepted Answer

700

Answer

2200

Answer

2800

Answer

1400

Question 3

Given that P is the center of the circle and $$m\angle APC=100\degree$$ . Find the measure of m\angle $$m\angle ABC$$ .

Accepted Answer

500

Answer

300

Answer

400

Answer

2000

Question 4

Given that P is the center of the circle and $$m\angle ABC=40\degree$$ . Find the measure of $$m\angle APC$$ .

Accepted Answer

800

Answer

200

Answer

400

Answer

1600

Question 5

Given that P is the center of the circle and $$m\angle BAC=140\degree$$ . Find the measure of $$m\angle BPC$$ (small angle)

Accepted Answer

800

Answer

1200

Answer

1400

Answer

2800

Question 6

Given that P is the center of the circle and $$m\angle BPC=160\degree$$ . Find the measure of $$m\angle BAC$$

Accepted Answer

1000

Answer

500

Answer

800

Answer

2000

Question 7

Given that P is the center of the circle and line segment AC is a diameter. Find the measure of $$m\angle ABC$$

Accepted Answer

900

Answer

1800

Answer

2000

Answer

3600

Question 8

Given that P is the center of the circle. Line segment AC is a diameter. Find the measure of $$m\angle ABC$$ .

Accepted Answer

900

Answer

450

Answer

1800

Answer

3600

Question 9

Given that P is the center of the circle. Line segment AB is a diameter. $$m\angle CAP=50\degree$$ .Find the measure of $$m\angle PCB$$ .

Accepted Answer

400

Answer

300

Answer

200

Answer

800

Question 10

Given that P is the center of the circle. Line segment AB and line segment CP are parallel to each other. $$m\angle CPA=30\degree$$ . Find the measure of $$m\angle CBA$$ .

Accepted Answer

150

Answer

50

Answer

300

Answer

600

Question 11

Given that P is the center of the circle. Line segment AB and line segment CP are parallel to each other. $$m\angle CPA=30\degree$$ . Find the measure of $$m\angle ADB$$ .

Accepted Answer

1350

Answer

300

Answer

600

Answer

1450

Question 12

Given that P is the center of the circle. Line segment AP and line segment BC are parallel to each other. $$m\angle APC=140\degree$$ . Find the measure of $$m\angle ACP$$ .

Accepted Answer

200

Answer

1400

Answer

700

Answer

400

Question 13

Given that P is the center of the circle. Line segment AB and line segment BC are parallel to each other. $$m\angle APC=140\degree$$ . Find the measure of $$m\angle ABC$$ .

Accepted Answer

1100

Answer

1400

Answer

400

Answer

700

Question 14

Given that P is the center of the circle. Line segment BD is a diameter. $$m\angle ACD=40\degree$$ . Find the measure of $$m\angle ABD$$ .

Accepted Answer

400

Answer

200

Answer

300

Answer

800

Question 15

Given that P is the center of the circle. $$m\angle ABD=45\degree$$ and $$m\angle BAC=55\degree$$ . Find the measure of $$m\angle ACD$$ .

Accepted Answer

450

Answer

550

Answer

1100

Answer

900

Question 16

Given that P is the center of the circle. $$m\angle EAD=40\degree$$ . Find the measure of $$m\angle DCE$$ .

Accepted Answer

400

Answer

200

Answer

800

Answer

600

Question 17

Given that chord AC and BD intersect at point X. DC=BC, $$m\angle BDC=40\degree$$ , $$m\angle DXC=60\degree$$ . Find the measure of $$m\angle DBA$$ .

Accepted Answer

800

Answer

1200

Answer

400

Answer

600

Question 18

Given that chord AC and BD intersect at point X. DC=BC, $$m\angle BDC=40\degree$$ , $$m\angle DXC=60\degree$$ . Find the measure of $$m\angle BDA$$ .

Accepted Answer

200

Answer

400

Answer

600

Answer

300

Question 19

Given that AE=EC=CD. $$m\angle EBD=40\degree$$ . Find the measure of $$m\angle CDE$$ .

Accepted Answer

700

Answer

350

Answer

200

Answer

400

Question 20

Given that AE=EC=CD. $$m\angle EBD=40\degree$$ . Find the measure of $$m\angle EAB$$ .

Accepted Answer

350

Answer

200

Answer

700

Answer

400

Question 21

Given that $$m\angle BAD=92\degree$$ and $$m\angle ABC=100\degree$$ . Find the measure of $$m\angle ADC$$ .

Accepted Answer

800

Answer

880

Answer

1800

Answer

400

Question 22

Given that $$m\angle BAD=92\degree$$ and $$m\angle ABC=100\degree$$ Find the measure of $$m\angle BCD$$ .

Accepted Answer

880

Answer

800

Answer

1800

Answer

440

Question 23

Given that $$m\angle ADC=80\degree$$ . Chord AD and chord BC are parallel to each other. Find the measure of $$m\angle ABC$$ .

Accepted Answer

1000

Answer

800

Answer

1600

Answer

1800

Question 24

Given that $$m\angle ADC=80\degree$$ . Chord AD and chord BC are parallel to each other. Find the measure of $$m\angle BCD$$

Accepted Answer

1000

Answer

800

Answer

500

Answer

400

Question 25

Given that $$m\angle ADC=80\degree$$ . Chord AD and chord BC are parallel to each other. Find the measure of $$m\angle BAD$$ .

Accepted Answer

800

Answer

1000

Answer

500

Answer

400

Question 26

Given that $$m\angle BAD=80\degree$$ and $$m\angle ADC=70\degree$$ . Find the measure of $$m\angle ABX$$ .

Accepted Answer

700

Answer

1100

Answer

1000

Answer

800

Question 27

Given that $$m\angle BAD=80\degree$$ and $$m\angle ADC=70\degree$$ . Find the measure of $$m\angle BCY$$ .

Accepted Answer

800

Answer

1000

Answer

1100

Answer

700

Question 28

Given that P is the center of the circle. $$m\angle APC=138\degree$$ . Find the measure of $$m\angle ADE$$ .

Accepted Answer

690

Answer

420

Answer

1800

Answer

1200

Question 29

Given that P is the center of the circle. $$m\angle APC=138\degree$$ . Find the measure of $$m\angle ABC$$ .

Accepted Answer

110

Answer

1380

Answer

420

Answer

690

Question 30

Given that AB=AD. $$m\angle DCE=76\degree$$ . Find the measure of $$m\angle DBA$$

Accepted Answer

520

Answer

380

Answer

760

Answer

1520

Circle, Inscribed angle, Central angle and iintercepted arc.

30 questions

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