Determining Angles in Triangle A

Very Hard Geometry Lines And Angles

In a triangle ABC, where angle A is $x$ degrees, angle B is $y$ degrees, and angle C is $z$ degrees. If the sum of the angles in any triangle is $180$ degrees, we can express this as $x + y + z = 180$. Additionally, it is given that angle A is twice the measure of angle B, and angle C is $30$ degrees less than angle B.

Using these relationships, what are the measures of angles A, B, and C?

Angle A: 60°, Angle B: 30°, Angle C: 90°

Angle A: 72°, Angle B: 36°, Angle C: 6°

Angle A: 108°, Angle B: 54°, Angle C: 24°

Angle A: 84°, Angle B: 42°, Angle C: 24°

Hint

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