9. Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.
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9. Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.
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Answer:
Step-by-step explanation:
Let the smallest angle be 'x'
angle A = x
angle B = 2x
angle C = 3x
In a triangle = angle A + angle B + angle C = 180°
= x + 2x + 3x = 180°
= 6x = 180
= x = 180/6
= x = 30
smallest angle(A) is 30°
angle B = 2(30) = 60°
angle C = 3(30) = 90°
Lets check =
30 + 60 + 90 = 180°
So angles are = 30° , 60° , 90°
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