(Order the angle measures) Math Help Quick Please!

m∠H < m∠GIH < m∠G

IK < JK < IJ

Step-by-step explanation:

Theorem: Alternate angles are equal

m∠H = m∠J = 57°

Theorem:  Sum of interior angles of a triangle is 180°

m∠G = 180 - m∠H - 60 = 180 - 57 - 60 = 63°

Theorem: Vertically opposite angles are equal

m∠GIH = m∠JIK = 60°

Therefore, m∠H < m∠GIH < m∠G

57 < 60 < 63

Theorem: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle

∠K = 63°

∠JIK = 60°

∠J = 57°

Therefore, IK < JK < IJ