Question

If MNOP is a rectangle, and m

Answer 1

B-60 APEX!!!!!

Answer 2

(B) 60

Explanation:

From the figure, it is given that MNOP is a rectangle and ∠MON=60°.

Now, Since from the properties of rectangle, the diagonals are congruent and bisect each other, therefore ∠PNO=60°.

Now, using the angle sum property in ΔNDO, we have

`{\angle}DNO+{\angle}DON+{\angle}NDO=180^(\circ)`

Substituting the given values, we get

⇒
`60^(\circ)+60^(\circ)+{\angle}NDO=180^(\circ)`

⇒
`120^(\circ)+{\angle}NDO=180^(\circ)`

⇒
`{\angle}NDO=180-120`

⇒
`{\angle}NDO=60^(\circ)`

Now, since
`x={\angle}NDO=60^(\circ)`( Vertically opposite angle)

Thus, the value of x is 60°

Hence, option B is correct.