Given the intersection of two chords not at the center find the measure of an arc

Given the intersection of two chords not at the center find the measure of an arc

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to calculate the measure of angle 5 using geometric principles. It begins by introducing angle 5 and discussing the rules for identifying arcs within a circle. The tutorial then explains the formula for calculating interior angles and demonstrates how to find angle 4. It highlights the relationship between angles 4 and 5 as a linear pair, which adds up to 180 degrees. Finally, the tutorial calculates angle 5 by subtracting angle 4 from 180 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating the measure of an interior angle using arcs?

1/2 the difference of the arcs

1/2 the sum of the arcs

The product of the arcs

The sum of the arcs

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the measure of an angle when the point is outside the circle?

By multiplying the arcs

By subtracting the smaller arc from the larger arc

By adding the arcs

By dividing the arcs

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between angles 4 and 5?

They are vertical angles

They are complementary angles

They are supplementary angles

They are linear pairs

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If angle 4 is 58 degrees, what is the measure of angle 5?

58 degrees

122 degrees

116 degrees

66 degrees

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of angles in a linear pair?

270 degrees

360 degrees

180 degrees

90 degrees