need help

tacoman48

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I need help on this problem but i do not know where to start.
 

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I need help on this problem but i do not know where to start.
You need to use two theorems.

(1) Sum of the measures of the interior angles of a triangle is 180 degrees.

(2) Sum of measures of the supplemental angles is 180 degrees.

Please share your work\thoughts about this problem.

1653790565072.png
 
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Do the labeled angle measurements (in degrees) refer to central angles subtending respective arclengths (i.e., the arclength adjacent to each label)?

[imath]\;[/imath]
 
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