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) (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)
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