angle J and angle M are base angles of isosceles trapezoid JKLM. if m angle j= 20x+ 9, and m angle M = 14x + 15, find m angle K

Question

anonymous · Answer

attachment

anonymous · Answer

@mathmale

mathmale · Answer

Hello!   First, what does "isosceles" mean when applied to the given figure?

anonymous · Answer

i dont know exactly what you mean by that?

mathmale · Answer

Please look up the term "isosceles," because that word is an essential part of this problem.
Do an Internet search for "isosceles" or for "isosceles trapezoid."

anonymous · Answer

two sides of equal length?

anonymous · Answer

wrong term, it has an line of symmetry bisecting on pair of opposite sides

anonymous · Answer

@mathmale

mathmale · Answer

The given illustration of a trapezoid shows two sides that are roughly vertical.  "Isosceles" means that those two sides have the same lengths.
Therefore, the interior angles on the left side of the figure are the same as the interior angles on the right side.

See whether you can apply this fact to solving the problem given.

anonymous · Answer

ok, your trying to find angle K? well, first we must find the angles of the two you have, and then, using the fact that this is an isosceles trapezoid, and knowing the number that all angles in a trapezoid must add up to, 360, we can subtract the sum of your two known angles, and then divide the difference by 2 to find the angle. i have no idea if this helps or even makes sense, but i hope it does.