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

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

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°

<h3>Hence, angle O is <u>52°.</u></h3>

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Model diagram can be seen in attachment.