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Quadrilaterals

Which of the ...

Question

Which of the following are the properties of concave quadrilateral?

One of the angles is not less than

180^{\circ}

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One diagonal lie outside the quadrilateral.

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One of the interior angles is a reflex angle.

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All of the above.

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Solution

The correct option is D All of the above.
If one angle of a quadrilateral is more than 180° and one diagonal lies outside, then it is a concave quadrilateral.
Angles greater than 180° is called as reflex angle.
So, all the given options are properties of a concave quadrilateral.

Ex: Arrow head

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Which of the following angles is not less than a straight angle?

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

(ix) An exterior angle of a triangle is less than either of its interior opposite angles.

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

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