Question

JKLM is an inscribed quadrilateral whose diagonals intersect at G. Segment JK is parallel to segment ML, as shown below.



Prove that if angle LKM is 85° and angle KML is 25°, then angle KLJ is 45°. Write a two column proof showing statements and reasons.

Answer 1

<KLM + <LKM+ < LMK = 180 <-- sum of angels of triangles

Answer 2

<MKJ = 25 (alternate angle)

Answer 3

<LJK = <LMK = 25 (angle subtended by same arc)

Answer 4

look in triangle LKJ

Answer 5

um, id say it will involve inscribed Quadrilateral Theorem, then alternative interior angles and opposite angles are congruent; and corresponding angles postulate ?

Answer 6

where didn't you understand??

Answer 7

you mean reasons ...??

Answer 8

yeah

Answer 9

i don't know how to explain it correctly and if their right i do have an idea of what i have to represent

Answer 10

just write what i've written in bracket

Answer 11

ohh, your right i get it now; thanks for your help i really appreciate it

Answer 12

yw