Answer:
m∠G = 118°
Explanation:
The congruence statement that says:
△CAT ≅ △DOG,
says not only that the triangles are the same shape and size, it also says //which// angles (and sides) are conguent.
Angle C and Angle D are the same. Angle A and Angle O are the same. And Angle T and Angle G are the same.
So in △CAT, Angle C is 25° and Angle A (same as O) is 37°.
Also, all the angles in a triangle add up to 180°.
25° + 37° + T = 180°
62° + T = 180°
T = 118°
And T corresponds to G, so AngleG is also 118°.