Question

Find the measure of angle N in the parallelogram. Round your answer to the nearest degree​

Answer 1

ANGLE N = 105°

Explanation:

The opposite angles of a parallelogram are equal

Therefore,

-9+7x = 6x+3

Bringing variables to one side

7x-6x = 3+9

x= 12

Since , x = 12

So , Angle K = 6x+3= 6(12)+3

= 72+3

=75

In a parallelogram , adjacent angles are supplementary

i.e, Angle K +Angle N = 180°

75 + Angle N = 180°

Angle N = 180 -75

= 105 °

Answer 2

In a parallelogram opposite angles are identical so K and M are the same. Solve for K first:

6x +3 = -9 + 7x

Add 9 to both sides:

6x + 12 = 7x

Subtract 6x from both sides:

X = 12

K = 6(12) + 3 =72 +3 = 75

Now K + N = 180

N = 180 - 75 = 105

N = 105