Inscribed Angles and Tangents Quiz

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Questions and Answers

What is the measure of arc EF in circle H?

41°

What is the measure of arc ECF in circle G?

98°

If the measure of angle QNT is 74°, what is the measure of angle QPN when line segment TS is tangent to circle O at point N?

148°

If the measure of angle CAE is 95°, what is the measure of angle CBA when line EF is tangent to circle G at point A?

<p>190°</p> Signup and view all the answers

What is the measure of arc BC when line segment BD is the diameter of circle E?

<p>78°</p> Signup and view all the answers

What is the measure of arc KL when angle KJL measures (7x - 8)° and angle KML measures (3x + 8)°?

<p>40°</p> Signup and view all the answers

What is the measure of angle EAB in circle F?

<p>148°</p> Signup and view all the answers

What is the measure of angle BDC if angle BAC measures 56°?

<p>56°</p> Signup and view all the answers

If the measure of UV is 84°, what is the measure of angle YUV when line segment XY is tangent to circle Z at point U?

<p>42°</p> Signup and view all the answers

What is the measure of arc AD when angle ABD measures (4x + 10)° and angle ACD measures (5x - 2)°?

<p>116°</p> Signup and view all the answers

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Study Notes

Inscribed Angles Key Facts

  • Measure of arc EF in circle H is 41°.
  • Measure of arc ECF in circle G is 98°.
  • In circle O, line segment TS is tangent at point N; if angle QNT is 74°, angle QPN measures 148°.
  • In circle G, line EF is tangent at point A; if angle CAE measures 95°, angle CBA measures 190°.
  • Diameter BD in circle E leads to arc BC measuring 78°.
  • For angles KJL (7x - 8)° and KML (3x + 8)°, the measure of arc KL is 40°.
  • In circle F, measure of angle EAB is 148°.
  • Angle BAC measuring 56° also gives angle BDC the same measure, which is 56°.
  • In circle Z, tangent line segment XY at point U has UV measuring 84°, resulting in angle YUV measuring 42°.
  • For angles ABD (4x + 10)° and ACD (5x - 2)°, the measure of arc AD is 116°.

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