Parallelogram L M N O is shown. Angle L is (2 x + 10) degrees and angle O is (x + 20) degrees. In parallelogram LMNO, what is the measure of angle N?

50°
70°
110°
130°

  110°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠L +∠O = 180°

  (2x +10) +(x +20) = 180

  3x = 150 . . . . . . . . . . . . . subtract 30

  x = 50

Then ...

  ∠L = (2x +10)° = (2·50 +10)° = 110°

Opposite angles in a parallelogram are congruent, so ...

  ∠N = ∠L = 110°

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.