How to find the measure of an angle that is inscribed from a secant and tangent line

How to find the measure of an angle that is inscribed from a secant and tangent line

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to measure arcs and calculate minor arcs in a circle. It introduces inscribed angles, particularly those involving secant and tangent lines, and explains the formula for inscribed angles. The tutorial demonstrates how to apply this formula to find the measure of an angle when given the arc's measurement.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of the minor arc if the major arc from M to N is 228 degrees?

180 degrees

360 degrees

228 degrees

132 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which type of angle is formed when a secant and a tangent intersect on a circle?

Inscribed angle

Exterior angle

Interior angle

Central angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between an inscribed angle and its intercepted arc?

The angle is equal to the arc

The angle is unrelated to the arc

The angle is half the arc

The angle is twice the arc

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an inscribed angle intercepts an arc of 132 degrees, what is the measure of the angle?

66 degrees

33 degrees

132 degrees

264 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to calculate the measure of an inscribed angle?

Measure of angle = arc + 90

Measure of angle = 2 arc

Measure of angle = 1/2 arc

Measure of angle = arc