# Math/Algebra?

In triangle ABC, the size of angle B is 3 times the size of angle A and the size of angle C is 8° less than six times the size of angle A. Find the size of the angles.

The size of angle A is ____°

The size of angle B is ____°

The size of angle C is ____°

### 3 Answers

- Pramod KumarLv 74 weeks ago
Let ∠ A = x°, Then --

∠ B = 3 x°, ∠ C = ( 6 x - 8 )°

Now sum of all the three Interior Angles = 180° ............. (Theorem)

=> ∠ A + ∠ B + ∠ C = 180°

...... | . . | . . |

=> x + (3 x) + ( 6x-8) = 180°

=> 10 x - 8 = 180°

=> 10 x = 188°

=> x = 18.8

Hence --

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∠ A = x° = 18.8° , ∠ B = 3 x° = 56.4° and ∠ C = ( 6x-8) = 104.8° -- Answer

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- KrishnamurthyLv 74 weeks ago
In triangle ABC, the size of ∠B is 3 times the size of ∠A

and the size of ∠C is 8° less than 6 times the size of ∠A.

Find the size of the angles.

The size of ∠A is 18.8°

The size of ∠B is 56.4°

The size of ∠C is 104.8°

- AshLv 74 weeks ago
∠B = 3∠A

∠C = 6∠A - 8°

∠A + ∠B + ∠C = 180°

∠A + 3∠A + 6∠A - 8° = 180°

10∠A = 188°

∠A = 18.8°

∠B = 3*18.8° = 56.4°

∠C = 6*18.8° - 8° = 104.8°