Item 6 Find the value of $p$ .

A triangle is drawn. One leg is labeled 12, one leg is labeled 24, and one leg is labeled 21. A segment is drawn from the vertex between the side labeled 12 and the side labeled 24 to the side labeled 21, splitting it into 2 segments, the longer of which is labeled p and is adjacent to the side labeled 24. The two angles formed at the vertex split by the line to the third side are marked as congruent.

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem