⋆ You have to proof that the given triangle's are congruent. And you have to write all the steps with reason.

⋆ The both triangles are in ATTACHMENT

⋆ YXZ and MNL are TWO triangle's

⋆ Angle X measures 100°

⋆ Angle L measure 100°

⋆ Angle Y measures 50°

⋆ Angle M measures 50°

⋆ Line segment XY measure 4.8

⋆ Line segment ML measure 4.8

⋆ Congruence rules

⋆ AAS congruence rule

• AAS STANDS for angle angle side. AAS congruence rule is APPLIED when two triangles are congruent if any two pair of angles and a pair of corresponding sides are equal.

~ As that's all given that,

⟹ YXZ and MNL are two triangle's

⟹ Angle X measures 100°

⟹ Angle L measure 100°

⟹ Angle Y measures 50°

⟹ Angle M measures 50°

⟹ Line segment XY measure 4.8

⟹ Line segment ML measure 4.8

~ Now let's use the all above information to prove that the both triangle's are congruent to each other. Let's do it!

⟹ X = L (100°)

⟹ Y = M (50°)

⟹ XY = ML (4.8 = LENGTH)

Henceforth, proved by AAS congruence rule that the triangles are congruent to each other that is △YXZ ≅ △MNL