Question

Are the two triangles below similar? Triangles GHI and JKL are shown. Angle G equals 46 degrees, Angle I equals 27 degrees, Angle K equals 108 degrees, Angle L equals 27 degrees, side GH equals 4, side HI equals 5, side KJ equals 2, side JL equals 4.

Yes; they have congruent corresponding angles

No; they do not have congruent corresponding angles

Yes; they have proportional corresponding sides

No; they do not have proportional corresponding sides

Answer 1

Answer: So basically the answer is yes they have corresponding angles (option 1)

Step-by-step explanation: they have the same angles UwU

Answer 2

Answer: No; they do not have proportional corresponding sides

Explanation:

Since, here in triangles GHI and JKL,

∠ G = 46°, ∠I = 27° ⇒ ∠H = 107° , ∠L = 27°, ∠ K = 108°⇒∠J = 45°

GH = 4, HI = 5 , KJ= 2 and JL = 4

Here ∠I ≅ ∠L

But,
`(GH)/(JK) \\eq (HI)/(JL)`

Therefore, they do not have proportional corresponding sides.

That is why they are not similar to each other.