Examine the paragraph proof. Which theorem does it offer proof for? Segments JK and HI are parallel, segment LO intersects segment JK at point N, segment LO intersects segment HI at point M, and points N and M are between points L and O on segment LO. Prove: JNL HMN According to the given information, segment JK is parallel to segment HI and points L, N, M, and O all lie on the same line. The measure of LNM 180 by the definition of a straight angle. Because JNL and JNM are adjacent to one another, the Angle Addition Postulate allows the measure of JNL and JNM to equal the measure of LNM. Through the Substitution Property of Equality, the measure of JNL plus the measure of JNM equals 180. Since JNM and HMN are same-side interior angles, the measure of JNM plus the measure of HMN equals 180. Using substitution again, the measure of JNL plus the measure of JNM equals the measure of JNM plus the measure of HMN. Finally, the Subtraction Property of Equality allows the measure of JNM to be subtracted from both sides of the equation. The result is that the measure of JNL