Question

The end of a charger that is plugged into a phone is an isosceles trapezoid. Find m2),mZK, and mZM when mZN = 116º.MK кOmZM = 64°, mZK = 116°, and mZJ = 640mZM = 640, mZK = 64°, and mZJ = 116°MZM = 116º,mZK = 649, and mZJ = 640mZM = 64°, mZK = 64°, and mZJ = 640

Answer 1

The given trapezium is an isosceles trapezium !

From the properties of isosceles trapezium : The base angles are equal in measure.

The base angle are : K and J, M and N

i.e. Angle K = Angle J

Angle M = Angle N

In the given trapezium : angle N = 116

as angle N = angle M

angle M = 116

From the properties of isosceled trapezium : The opposite angles are supplementary.

The opposite angle are : K and N, M and J

Angle K + Angle N = 180

Angle K + 116 = 180

Angle K = 180 - 116

Angle K = 64

As, angle K and angle J are base angle, so they are equal

Angle K = angle J

Angle J = 64

Answer :

m