Question 38Which of the following can be four interior angles of a quadrilateral-a 140- 40- 20- 160-b 270- 150- 30- 20-c 40- 70- 90- 60-d 110- 40- 30- 180-

We know that the sum of interior angles of a quadrilateral is 360^∘ Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum i ...

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Standard IX

Mathematics

Introduction to Quadrilateral

Question 38Wh...

Question

Question 38
Which of the following can be four interior angles of a quadrilateral?
a) $140^{\circ}, 40^{\circ}, 20^{\circ}, 160^{\circ}$
b) $270^{\circ}, 150^{\circ}, 30^{\circ}, 20^{\circ}$
c) $40^{\circ}, 70^{\circ}, 90^{\circ}, 60^{\circ}$
d) $110^{\circ}, 40^{\circ}, 30^{\circ}, 180^{\circ}$

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Solution

We know that the sum of interior angles of a quadrilateral is $360^{\circ}$
Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum is $360^{\circ}$ .

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(d) 60°, 70°, 50°

In $Δ A B C, ∠ A = 30^{\circ}, ∠ B = 40^{\circ} a n d ∠ C = 110^{\circ}$ . The angles of the triangle formed by joining the mid-points of the sides of this triangle are

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Question 38 Which of the following can be four interior angles of a quadrilateral? a) 140∘,40∘,20∘,160∘ b) 270∘,150∘,30∘,20∘ c) 40∘,70∘,90∘,60∘ d) 110∘,40∘,30∘,180∘

We know that the sum of interior angles of a quadrilateral is 360∘ Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum is 360∘.

Question 38
Which of the following can be four interior angles of a quadrilateral?
a) $140^{\circ}, 40^{\circ}, 20^{\circ}, 160^{\circ}$
b) $270^{\circ}, 150^{\circ}, 30^{\circ}, 20^{\circ}$
c) $40^{\circ}, 70^{\circ}, 90^{\circ}, 60^{\circ}$
d) $110^{\circ}, 40^{\circ}, 30^{\circ}, 180^{\circ}$

We know that the sum of interior angles of a quadrilateral is $360^{\circ}$
Thus, the angles in option (a) can be four interior angles of a quadrilateral as their sum is $360^{\circ}$ .