Two angles are supplementary. three times the measure of one angle is 20° more than the measure
of the other. find the measure of each angle.

  50°, 130°

Step-by-step explanation:

All measures are in degrees. Let x represent "one angle". Then the other is (180-x) and we can write the relation ...

  3x = 20 +(180 -x)

  4x = 200 . . . . . . . add x, collect terms

  x = 50 . . . . . . . . . . one angle

  180 -50 = 130 . . . .the other angle

The measures of each angle are 50° and 130°.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.