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OlgaM077 [116]
2 years ago
6

If MNOP is a rectangle, and m

Mathematics
2 answers:
GenaCL600 [577]2 years ago
7 0

Answer:

B-60 APEX!!!!!

vivado [14]2 years ago
6 0

Answer:

(B) 60

Step-by-step 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.

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