The angles of a triangle are in the ratio ⅓:¼:⅙. The smallest angle is
(a) 40°
(b) 30°
(c) 60°
(d) none of these
please give the answer correctly with full explanation
(a) 40°
(b) 30°
(c) 60°
(d) none of these
please give the answer correctly with full explanation
Answers & Comments
Verified answer
Step-by-step explanation:
Let the angles of triangle be x/3, x/4 and x/6..
Sum of angles of triangle= 180 ( angle sum)
x/3+ x/4+ x/6 = 180
[tex] \frac{4x + 3x + 2x}{12} = 180 [/tex]
Multiplying both sides by 12,
9x = 2160
x = 2160/9 = 240
So the angles are 80, 60 and 40...
Smallest angle = 40
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