Question 39The sum of angles of a concave quadrilateral isa More than 360-b Less than 360-c Equal to 360-d Twice of 360-

We know that the sum of interior angles of any polygon (convex or concave) having n sides is (n 2) × 180^∘. ∴ The sum of angles of a concave quadrilateral is (4 ...

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Standard IX

Mathematics

Introduction to Quadrilaterals

Question 39Th...

Question

Question 39
The sum of angles of a concave quadrilateral is
a) More than $360^{\circ}$
b) Less than $360^{\circ}$
c) Equal to $360^{\circ}$
d) Twice of $360^{\circ}$

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Solution

We know that the sum of interior angles of any polygon (convex or concave) having n sides is $(n - 2) \times 180^{\circ}$ .
$∴$ The sum of angles of a concave quadrilateral is $(4 - 2) \times 180^{\circ} = 360^{\circ}$ .

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Question 39 The sum of angles of a concave quadrilateral is a) More than 360∘ b) Less than 360∘ c) Equal to 360∘ d) Twice of 360∘

We know that the sum of interior angles of any polygon (convex or concave) having n sides is (n−2)×180∘. ∴ The sum of angles of a concave quadrilateral is (4−2)×180∘=360∘.

Question 39
The sum of angles of a concave quadrilateral is
a) More than $360^{\circ}$
b) Less than $360^{\circ}$
c) Equal to $360^{\circ}$
d) Twice of $360^{\circ}$

We know that the sum of interior angles of any polygon (convex or concave) having n sides is $(n - 2) \times 180^{\circ}$ .
$∴$ The sum of angles of a concave quadrilateral is $(4 - 2) \times 180^{\circ} = 360^{\circ}$ .