Arc using triangle

Geometry Level 2

Find the arc of SX


The answer is 130.

C Prak by C prak , 21, USA

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1 solution

C Prak
Mar 13, 2014

PL=PM because all radii of the same circle are congruent. DM=LF was given. Because of the Addition property PD=PF. Triangle PDF is isosceles because if at least two sides of a triangle are congruent than isosceles. <MDX=<LSF because if sides then angles. 180-155=25 25/2 is 12.5 so <MDX and <LSF=12.5. Arc of LM=155. 155-25=130

1 Helpful 0 Interesting 0 Brilliant 0 Confused

There is not enough information in the problem to determine the answer. You can vary the lengths of M D MD and L F LF so that they stay equal. This changes how long arc S X SX is.

Jon Haussmann - 7 years, 2 months ago

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no, S and X points are on the circle.

Muhammad Sajid - 6 years, 9 months ago

We need value of XP or SP not of PD

Kriti Goel - 6 years, 10 months ago

I couldn't get the last part of the solution.

Muhammad Sajid - 6 years, 9 months ago

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