Question

Diagonals of a quadrilateral MNOP each other.If angle N=75° then find the degree measure of angle O

Answer 1

180_75=105 (sum of adjacent angles is equal to 180)

Answer 2

In a quadrilateral, the sum of the adjacent angles is 180°.
Therefore, the sum of ∠N and ∠O is 180°
⇒75°+∠O=180°
⇒∠O=180°-75°
⇒∠O=105°