Question

Given below are the triads. Which of the following triads represents the angles of a triangle ?

(i) 100°, 30°, 40°
(ii) 30°, 59°,91°
(iii) 45°, 45°, 90°
(iv) 120°, 30°, 50°

Answer 1

(i) (100°, 30°, 40°)

∵ Sum of all angles of a triangle = 180°

(i) 100° + 30 + 40° ≠ 180° ⇒ 170 ≠ 180

∴ Triangle is not possible.

(ii) 30° + 59° + 91°= 180° ⇒ 180° = 180°

∴ Triangle is possible.

(iii) 45° + 45° + 90° = 180° ⇒ 180° = 180°

∴ Triangle is possible.

(iv) 120° + 30° + 50° = 180° ⇒  200°= 180°

∴ Triangle is not possible.