8. Which of the following sets of angles can be the angles of a triangle
a) 30°, 60°, 80° b) 60°,40°,70°c) 50°,30°, 100° d) 90°, 45°, 65°
Answers
Answer :
8. Which of the following sets of angles can be the angles of a triangle
a) 30°, 60°, 80°
b) 60°, 40°, 70°
c) 50°, 30°, 100° ✓
d) 90°, 45°, 65°
Step-by-step explanation :
Concept :-
As we know, by a property of triangle, that,
Sum of all angles of a triangle is 180°, and if the following sum of angles measures 180°, then can consider as a triangle.
a) 30°, 60°, 80°
Solution,
➞ 30 + 60 + 80 = 180
➞ 90 + 80 = 180
➞ 170 ≠ 180
Hence, a) 30°, 60°, 80° are the angles which cannot be the angles of a triangle.
b) 60°, 40°, 70°
Solution,
➞ 60 + 40 + 70 = 180
➞ 100 + 70 = 180
➞ 170 ≠ 180
Hence, b) 60°, 40°, 70° are the angles which cannot be the angles of a triangle.
c) 50°, 30°, 100°
➞ 50 + 30 + 100 = 180
➞ 80 + 100 = 180
➞ 180 = 180
Hence, c) 50°, 30°, 100° are the angles which can be the angles of a triangle.
d) 90°, 45°, 65°
➞ 90 + 45 + 65 = 180
➞ 90 + 110 = 180
➞ 200 ≠ 180
Hence, d) 90°, 45°, 65° are the angles which cannot be the angles of a triangle.