Question

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Answer 1

Answer:

option (a) is correct answer

Answer 2

Answer:

I think the question has some data missing.

If 3∠A= 4∠B= 6∠C and ABC is a triangle, then ∠A=?

I don't know if that is the question exactly, so I will provide the measures of all three angles.

Now, we know that in a triangle

∠A + ∠B + ∠C= 180°

In order to solve this, it might be easier to take all the angles in relation to one certain angle.

Say, we take ∠A.

Now ∠B= 3/4 ∠A and ∠C= 3/6 ∠A = 1/2∠A

If we use this in our triangle equation,

∠A + 3/4∠A + 1/2∠A= 180°

⇒ 9/4 ∠A= 180°

⇒∠A = 180°× 4/9= 80°

Therefore, ∠B= 3/4 × 80°= 60°

And ∠C= 1/2 × 80°= 40°

For verification, add up these measures and see if they equal 180°.