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In a ∆ABC, if 2 ∠A = 3, ∠B = 6∠C then ∠B = ?
  • a)
    30°
  • b)
    90°
  • c)
    60°
  • d)
    45° 
Correct answer is option 'C'. Can you explain this answer?
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In a ABC, if 2 ∠A = 3,∠B = 6∠C then∠B = ?a)30°b)90...


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In a ABC, if 2 ∠A = 3,∠B = 6∠C then∠B = ?a)30°b)90...
In triangle ABC, if angle A is equal to 2 times angle B and angle B is equal to 3 times angle C, we can use this information to find the measures of these angles.

Let's say angle C is x degrees.
Then, angle B is 3x degrees.
And angle A is 2 times angle B, so it is 2(3x) = 6x degrees.

Since the sum of the angles in a triangle is 180 degrees, we can set up the equation:

x + 3x + 6x = 180
10x = 180
x = 18

So, angle C is 18 degrees.
Angle B is 3 times angle C, so it is 3(18) = 54 degrees.
And angle A is 2 times angle B, so it is 2(54) = 108 degrees.

Therefore, the measures of the angles in triangle ABC are:
Angle A = 108 degrees
Angle B = 54 degrees
Angle C = 18 degrees.
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In a ABC, if 2 ∠A = 3,∠B = 6∠C then∠B = ?a)30°b)90°c)60°d)45°Correct answer is option 'C'. Can you explain this answer?
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