SOLUTION: The interior angles of a quadrilateral inscribed in a circle are 100°,70°,2x, and x. What is the value of x?

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Question 864606: The interior angles of a quadrilateral inscribed in a circle are 100°,70°,2x, and x. What is the value of x?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
All quadrilaterals (regardless if they are inscribed in a circle or not) have their angles add to 360 degrees.


Angle1 + Angle2 + Angle3 + Angle4 = 360


100+70+2x+x = 360


3x+170 = 360


3x = 360-170


3x = 190


x = 190/3


The answer as a fraction is x = 190/3


The answer as a decimal approximation is x = 63.33333 (this is approximate, the 3's after the decimal point go on forever)