Which of the following correctly justifies statement 4 of the two-column proof? Lines JK and LM are intersected by transversal JL; the intersection of JK and JL creates angles 2, 4, 3, and 1 clockwise beginning at the top right; the intersection of LM and JL creates angles 6, 8, 7 and 5 clockwise beginning at the top right. Given: line JK is parallel to line LM Prove: ∠2 ≅ ∠7 Statement Justification 1. line JK is parallel to line LM 1. Given 2. ∠6 ≅ ∠7 2. 3. ∠2 ≅ ∠6 3. 4. ∠2 ≅ ∠7 4. Corresponding Angles Theorem Transitive Property of Equality Vertical Angles Theorem Substitution Property of Equality

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: