Question

If the measures of two opposite angles of an isosceles trapezoid are (2x+20) and (3x), what is the value of x?

Answer 1

so basically you just set them equal to each other since an isosceles trapezoid has equal lengths on the top and bottom, also the sides as well. the isosceles trapezoid has the unique quality where the sides aren't parallel. but we can still figure this out. since the top and bottom are parallel this makes the lengths of the left and right sides exactly the same as each other which also means that the angles are also the same. so since we've established that the angles are the same then we know that one angle on the side is 3x and the other is 2x+20. to figure this out just set them equal to each other.\[2x+20=3x\]\[20=3x-2x\]\[20=x\]then to check your answer just plug 20 into x for both equations and you'll find that it will equal the same.