Which of the following can possibly be the angles of a triangle?
(I) 50°,30°,100°
(ii) 90°,50°, 50°
(iii) 20°,70°,90°
(iv) 45°,90°,45°
(v) 65°,65°,65°
(vi) 120°,50°,10°,
Explain step by step
Question from:-
Std-6
Board- I.C.S.E
Answers
Answer:
(I), (III), (IV), (VI)
Step-by-step explanation:
According to angle sum property, the sum of the three angles of a triangle should be 180°.
Answer :
(i) 50°,30°,100°
(iii) 20°,70°,90°
(iv) 45°,90°,45°
(vI) 120°,50°,10°
---------------
Given :
- 50°,30°,100°
- 90°,50°, 50°
- 20°,70°,90°
- 45°,90°,45°
- 65°,65°,65°
- 120°,50°,10°,
To find :
- which of the following can possibly be the angles of a triangle?
Solution :
⇒ Let's find which of the following can possibly be the angles of a triangle.
- Sum of angles of a triangle = 180°
(i) 50°,30°,100° :
Sum of angles of a triangle = 180°
= 50° + 30° + 100°
= 80° + 100°
= 180°
(ii) 90°,50°, 50° :
Sum of angles of a triangle = 180°
= 90° + 50° + 50°
= 90° + 100°
= 190°
(iii) 20°,70°,90° :
Sum of angles of a triangle = 180°
= 20° + 70° + 90°
= 90° + 90°
= 180°
(iv) 45°,90°,45° :
Sum of angles of a triangle = 180°
= 45° + 90° + 45°
= 90° + 90°
= 180°
(v) 65°,65°,65° :
Sum of angles of a triangle = 180°
= 65° + 65° + 65°
= 65° + 130°
= 195°
(vi) 120°,50°,10° :
Sum of angles of a triangle = 180°
= 120° + 50° + 10°
= 120° + 60°
= 180°