HELP PLEASE. For parallelogram LMNO, if m∠L = 3x - 25 and m∠N = 2x - 10, find m∠M.

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

In a parallelogram opposite angles are congruent, that means:

Angle L = Angle N, replace L & N by they respective value, then

3x-25 = 2x-10 ==> x=15 , Now plug the value of x in any of the 2 sides
3(15) -25 =20°

hence Angle L =- Angle N = 20°

Now let's calculate Angle M. In a parallelogram the adjacent angle are supplementary, that means their sum = 180°, then

Angle N + Angle N = 180°==> Angle M = 180°-20° = 160°

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