10 points if you answer correctly
(a)explain why m< 4 is equal to the sum of the measures of the two nonadjacent interior angles
(b)what is m< 4
best answer gets 50 points

A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77   [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103

Now, ∠3 + ∠4 = 180  [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]

Hence proved.

b) m∠4 = 77 
[ Solved in previous section ]

Hope this helps!