Pete is solving for x in the problem to the right. He has decided that these angles are supplementary as 4x+16 is also the measure of the angle labeled with the star because of vertical angles. He then states that 7x-20 and the angle labeled star are same side interior, which he knows are supplementary. This leads to him solving for x and stating that the answer is 16.72. Is Pete correct? Explain your reasoning

No, x=12.

Step-by-step explanation:

4x+16=7x-20

-7x     -7x

-3x+16=-20

     -16   -16

-3x=-26

divide by -3 on both sides

x=12

the answer is b

∠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.