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?
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What is the measure of arc BC when line segment BD is the diameter of circle E?
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What is the measure of arc KL when angle KJL measures (7x - 8)° and angle KML measures (3x + 8)°?
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What is the measure of angle EAB in circle F?
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What is the measure of angle BDC if angle BAC measures 56°?
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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?
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What is the measure of arc AD when angle ABD measures (4x + 10)° and angle ACD measures (5x - 2)°?
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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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Description
Test your understanding of inscribed angles and tangents in circles with this quiz. Answer questions based on arc measures and angles related to circles. Perfect for students revising properties of circles in geometry.
