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 i ...

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Standard X

Mathematics

Angles Subtended by an Arc at the Centre Is Twice the Angle Subtended at the Circumference

Question 38 W...

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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Q. In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. The angles of the triangle formed by joining the mid-points of the sides of this triangle are

(a) 70°, 70°, 40°

(b) 60°, 40°, 80°

(c) 30°, 40°, 110°

(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

Question 30

Which of the following triplets cannot be the angles of a triangle?
a) $67^{\circ}, 51^{\circ}, 62^{\circ}$
b) $70^{\circ}, 83^{\circ}, 27^{\circ}$
c) $90^{\circ}, 70^{\circ}, 20^{\circ}$
d) $40^{\circ}, 132^{\circ}, 18^{\circ}$

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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 $360^{\circ}$ .