Question

Find the Measure of angle O
(see image)
Only real answers, please

Answer 1

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

Therefore, angle M=angle N (adjacent sides of the trapezoid)

`(8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}`

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

Hence, angle O is 52°.