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Triangle and Sum of Its Internal Angles

If the angles...

Question

If the angles A, B and C of ΔABC satisfy the relation B − A = C − B, then find the measure of ∠B.

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Solution

In the given ΔABC,

,and satisfy the relation

We need to fine the measure of.

As,

........(1)

Now, using the angle sum property of the triangle, we get,

(Using 1)

Therefore,

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Similar questions

If the $∠$ A, $∠$ B and $∠$ C of $Δ A B C$ satisfy the relation $∠$ B - $∠$ A = $∠$ C - $∠$ B, then find the measure of $∠ B .$

∠ A, ∠ B,

∠ C o f △ A B C

satisfy the relation

∠ B - ∠ A = ∠ C - ∠ B,

then find the measure of

∠ B .

Δ A B C, ∠ A < ∠ B

sin A

sin B

satisfy the equation

3 sin x - 4 {sin}^{3} x - k = 0

0 < K < 1

, then find measure of

∠ C

.

Δ A B C

3 ∠ A = 4 ∠ B = 6 ∠ C

, find the measure of

∠ A, ∠ B

∠ C

a, b, c

of a triangle satisfy the relations

c^{2} = 2 a b

a^{2} + c^{2} = 3 b^{2} .

Then the measure of

∠ B A C,

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