Geometry of Circles - Inscribed Angle from Intersected Arc (Level 2)

This math topic focuses on solving problems related to the geometry of circles, specifically calculating inscribed angles from given intersected arcs. The problems require users to find the measure of an angle based on the degrees of the arc opposite the angle. These exercises are designed for students with intermediate knowledge of geometry and provide a practical application of the Inscribed Angle Theorem, which states that the inscribed angle is half the measure of its intercepted arc. The questions include multiple-choice answers, enhancing the problem-solving skills needed to determine and verify the correct inscribed angle values.

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 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/

1

Find angle PND if the intersected arc PD is 35º

a

17.5º

b

37.5º

c

70º

d

2.5º

e

7.5º

f

12.5º

2

Find angle DCX if the intersected arc DX is 31º

a

62º

b

9.5º

c

25.5º

d

35.5º

e

15.5º

f

5.5º

3

Find angle ZDX if the intersected arc ZX is 95º

a

67.5º

b

27.5º

c

47.5º

d

62.5º

e

37.5º

f

190º

4

Find angle ZDM if the intersected arc ZM is 73º

a

36.5º

b

51.5º

c

26.5º

d

16.5º

e

21.5º

f

146º

5

Find angle PCN if the intersected arc PN is 33º

a

16.5º

b

26.5º

c

66º

d

3.5º

e

6.5º

f

21.5º

6

Find angle BCZ if the intersected arc BZ is 61º

a

30.5º

b

25.5º

c

122º

d

20.5º

e

10.5º

f

45.5º

7

Find angle ZDX if the intersected arc ZX is 57º

a

114º

b

13.5º

c

3.5º

d

28.5º

e

33.5º

f

8.5º