Tell whether the angles are complementary or supplementary. Then find the value of x.

Step-by-step explanation:

Complementary angles form a right angle and supplementary angles form a straight angle.

Complementary:

Supplementary:

Step-by-step explanation:

1)

Since we know that sum of two complementary angles are 90⁰

=> 65 + 5x = 90

=> 5x = 90 - 65

=> 5x = 35

=> x = 35/5

=> x = 7⁰

2)

Since we know that sum of two supplementary angle are 180

=> 2x + 6x + 20 = 180

=> 8x = 180 - 20

=> 8x = 160

=> x = 160/8

=> x = 20

∠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.