In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and  ≅ . Is this information sufficient to prove triangles GHI and RST congruent through SSS? Explain your answer.

RSTU is a parallelogram. If m/TUV = 78° and m/TVU = 54°, explain how you can find the measure of SRV. Show all steps of your work, and refer to any properties of triangles,
parallelograms, or triangle congruency theorems as necessary to justify your response.

RSTU is a parallelogram. If m∠TUV = 79° and m∠TVU = 55°, explain how you can find the measure of ∠SRV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response. 

In the right triangles shown, the measure of angle HFI is the same as the measure of angle JGH. What is the length of side GH?