Question

< J and < M are base angles of isosceles trapezoid JKLM. If measure < J = 20x +9 and m < M= 14x +15, find measure < K.

Answer 1

The base angles of an isosceles trapezoid are equal. Therefore:
20x + 9 = 14x + 15
6x = 6
x = 1
So, the base angles both equal 29 degrees.
In a trapezoid, the sum of the angles attached to the same leg always = 180 degrees.
Therefore, angle K and angle L equal 151 degrees.