Can't understand this.

I went over this in my head a thousand times, but I am never good at these prove statements. Maybe someone out there can help me understand this better?View attachment 2564

Apply ASA theorem of congruent triangles.

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Sorry that I forgot to show my work.

Okay, I think I understand the theory, and this is how I got to it. if this is wrong please help me to understand.

given that Line KT is a transversal that intersects lines J and E at a perpendicular angle, angles JKL and ETV are right angles. Because they are interior angles on the same side, angles JKL and ETV are supplementary as well as congruent. Therefore, angles JKL and ETV are congruent. Line KL is congruent with VT therefore they are the same length. Angles 1 and 2 are both interior angles on the same side, and thus are supplementary to each other.
Therefore triangle JKL is congruent with triangle ETV
 
Okay, I think I understand the theory, and this is how I got to it. if this is wrong please help me to understand.

given that Line KT is a transversal that intersects lines J and E at a perpendicular angle, angles JKL and ETV are right angles. Because they are interior angles on the same side, angles JKL and ETV are supplementary as well as congruent. Therefore, angles JKL and ETV are congruent. Line KL is congruent with VT therefore they are the same length. Angles 1 and 2 are both interior angles on the same side, and thus are supplementary to each other.
Therefore triangle JKL is congruent with triangle ETV

Are you supposed to show your proof in two-column format?

Otherwise your line of thought is correct.
 
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