Question

If LMNO is a rectangle, and mMON = 30, what is the value of x?

Answer 1

LMNO is a rectangle, and mMON = 30
so
mONL = 30

x = 180 - 2(30)
x = 180 - 60
x = 120

Answer is E. 120

Answer 2

Answer:

The answer is the option E

$120\°$

Step-by-step explanation:

we know that

If LMNO is a rectangle

then

The triangle OCN is an isosceles triangle----> (C is the center of the rectangle)

so

$m<MON=m<LNO=30\°$ ------> the base's angles of the isosceles triangle

$m<OCN=x\°$ -----> by vertical angles

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

therefore

$2*30\°+x\°=180\°$

solve for x

$x=180\°-2*30\°=120\°$