Question

Help! Based on the given information, what can you conclude and why?
Given: ∠h ≅∠l and line HJ congruent to Line JL

Answer 1

Answer: $\triangle HIJ \cong \triangle LKJ$

Step-by-step explanation:

Given: ∠H ≅∠L and line HJ congruent to Line JL.

Since, In triangles HIJ and LKJ,

∠H ≅ ∠L

HJ ≅ JL

And, ∠HJI ≅ ∠ LJK

Therefore, By ASA postulate,

Δ HIJ ≅ Δ LKJ

This is why Option first is correct.

Note: Option third ΔHIJ≅ΔJKL is not correct,

Because,  HI≠JK