What is the rule for calculating the angle formed by a tangent and a secant?

Angle Relationships and Operations

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Thomas White
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21 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The angle is equal to the sum of the arcs divided by two.
The angle is equal to the far away arc minus the close arc divided by two.
The angle is equal to the product of the arcs.
The angle is equal to the difference of the arcs.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the introduction, what is the similarity between tangent secant angles and secant secant angles?
Both involve multiplying the arcs.
Both involve the difference of arcs divided by two.
Both involve dividing the arcs by two.
Both involve the sum of arcs.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Example 1, if the far away arc is 202° and the close arc is 102°, what is the angle?
100°
50°
150°
200°
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Example 1, what operation is performed after subtracting the close arc from the far away arc?
Subtraction
Division by two
Multiplication
Addition
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle if the far away arc is 202° and the close arc is 102°?
150°
50°
100°
200°
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Example 2, what is the value of x if the angle is 31° and the far away arc is 170°?
31
170
108
62
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving Example 2?
Add the arcs together.
Multiply both sides by two.
Subtract the close arc from the far away arc.
Divide the angle by two.
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