What is the solution to finding the angle in this geometry homework problem?

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Homework Help Overview

The discussion revolves around a geometry problem involving angles and arcs in a circle. Participants are attempting to determine the correct method to find an unknown angle based on given information about intercepted arcs.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between angles and arcs, referencing specific formulas related to angles inside and outside a circle. There is an exploration of the implications of given angle measures and how they relate to the problem at hand.

Discussion Status

The conversation includes various interpretations of the problem and attempts to apply geometric principles. Some participants have provided guidance on the correct formulas to use, while others are questioning the assumptions made about the angles and arcs involved.

Contextual Notes

There is mention of an attachment that presumably contains a diagram relevant to the problem, which may be critical for understanding the relationships between the angles and arcs discussed.

golb0016
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Homework Statement


See the attachment

The Attempt at a Solution


Is the answer simply 70-40=30?
 

Attachments

  • Angle.gif
    Angle.gif
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You're trying to find angle 1, right? It looks to me like you are given that it is 40 degrees.
 
I'm pretty sure 40 degrees refers to that arc of the circle. In this case, you need two formulas:

1) Angle inside circle equals one-half of the sum of the intercepted arcs.
2) Angle outside circle equals one-half of the difference of the intercepted arcs.
 
70 = .5 (40+x)
x = 100

Angle 1 = .5(100+40)
Angle 1 = 70

However this answer is not an option. Where is my mistake?
 
Last edited:
golb0016 said:
Angle 1 = .5(100+40)

Your mistake is in this line. The angle outside the circle is equal to half the difference of the intercepted arcs.
 

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