Question

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

Answer 1

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!