Geometry of Circles - Inscribed Angle from Intersected Arc (Level 1)

This math topic focuses on the geometry of circles, specifically dealing with the relationships and calculations involving inscribed angles and their intersected arcs. Skills being practiced include understanding and computing the measurements of angles formed when two points on a circle's circumference are connected by a chord that intersects at another point on the circumference, given the degree measure of the arc intercepted by the angle. These problems are designed to enhance comprehension of geometric properties associated with circles, enhancing students' ability to work through and apply fundamental concepts in circle geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Geometry of Circles - Inscribed Angle from Intersected Arc Worksheet

Math worksheet on 'Geometry of Circles - Inscribed Angle from Intersected Arc (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/

1

Find angle XCZ if the intersected arc XZ is 106º

a

48º

b

43º

c

73º

d

53º

e

63º

f

212º

2

Find angle MPR if the intersected arc MR is 52º

a

26º

b

16º

c

6º

d

46º

e

31º

f

104º

3

Find angle XPD if the intersected arc XD is 48º

a

24º

b

96º

c

9º

d

19º

e

39º

f

4º

4

Find angle RZM if the intersected arc RM is 104º

a

52º

b

32º

c

27º

d

208º

e

57º

f

72º

5

Find angle BNM if the intersected arc BM is 52º

a

11º

b

1º

c

31º

d

16º

e

104º

f

26º

6

Find angle BZY if the intersected arc BY is 44º

a

32º

b

88º

c

17º

d

3º

e

7º

f

22º

7

Find angle MBY if the intersected arc MY is 94º

a

62º

b

47º

c

37º

d

32º

e

22º

f

188º