1. Which of the following are possible angles of a quadrilateral?
(A) 30°, 45°, 20°, 85°
(B) 55°, 75°, 110°, 120°
(C) 30°, 90°, 95°, 85°
(D) 45°, 75°,80°, 70°
Answers
Answer:
(B) 55°, 75°, 110°, 120°
Step-by-step explanation:
Because the sum of four angles of quadrilateral is always equal to 360°
It is only followed in option B.
(B) 55° + 75° + 110° + 120° = 360°
Thank you!
Before, finding the answer. Let's find out how we can find the answer.
- In this question, we are asked to find out, which of the following are possible angles of a quadrilateral.
- Before, finding that, let's remember that Total Angles in a Quadrilateral is 360°.
- So, we have to add all the degrees given and if after adding if we get 360° as the answer then it is the possible angles of a Quadrilateral.
__________________________
Given :
- (A) 30°, 45°, 20°, 85°
- (B) 55°, 75°, 110°, 120°
- (C) 30°, 90°, 95°, 85°
- (D) 45°, 75°,80°, 70°
To find :
- Which of the following are possible angles of a quadrilateral
Solution :
(A) 30°, 45°, 20°, 85°
Total Angles in a Quadrilateral = 360°
= 30° + 45° + 20° + 85°
= 180°
Therefore, it is not possible to have a quadrilateral.
(B) 55°, 75°, 110°, 120°
Total Angles in a Quadrilateral = 360°
= 55° + 75° + 110° + 120°
= 360°
Therefore, it is possible to have a quadrilateral.
(C) 30°, 90°, 95°, 85°
Total Angles in a Quadrilateral = 360°
= 30° + 90° + 95° + 85°
= 300°
Therefore, it is not possible to have a quadrilateral.
(D) 45°, 75°,80°, 70°
Total Angles in a Quadrilateral = 360°
= 45° + 75° + 80° + 70°
= 270°
Therefore, it is not possible to have a quadrilateral.