Angles formed by chords, secants and tangents

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira cuts two straight lines across a round pizza. Chords CF and DG cross at H, inside circle O. What is ∠CHD, in degrees?

   60
2. 2.

   Luz draws two crossing chords on a clock face. Chords CF and DG cross at H, inside circle O. What is ∠CHD, in degrees?

   75
3. 3.

   Noah sews two crossing stripes on a round rug. Chords CF and DG cross at H, inside circle O. What is ∠CHD, in degrees?

   96
4. 4.

   Pia rolls a play ball on a straight floor, touching at C. Chord CD meets the tangent at C, and arc CD inside the angle is 110°. What is that angle, in degrees?

   55
5. 5.

   Ren draws a bike wheel touching the road at C. Chord CD meets the tangent at C, and arc CD inside the angle is 76°. What is that angle, in degrees?

   38
6. 6.

   Zee rests a stick against a round plate at C. Chord CD meets the tangent at C, and arc CD inside the angle is 98°. What is that angle, in degrees?

   49
7. 7.

   Ari stands at Q outside a round pond and looks along two straight paths. Secants QCD and QGF meet at Q, outside circle O. What is ∠Q, in degrees?

   45
8. 8.

   Bo draws two lines from Q through a clock face. Secants QCD and QGF meet at Q, outside circle O. What is ∠Q, in degrees?

   32
9. 9.

   Esme cuts two straight lines from Q through a round pizza. Secants QCD and QGF meet at Q, outside circle O. What is ∠Q, in degrees?

   48
10. 10.

    Jun lays two strings from Q across a round rug. Secants QCD and QGF meet at Q, outside circle O. What is ∠Q, in degrees?

    50