Since the sum of the angles in a triangle is always 180 degrees, we can write the equation x + 2x + 3x = 180 and solve for x.
From the equation, we have 6x = 180, which gives us x = 30.
Now we can find the measures of each angle:
Angle A = x = 30 degrees
Angle B = 2x = 2*30 = 60 degrees
Angle C = 3x = 3*30 = 90 degrees
Based on the measures of the angles, we can classify triangle ABC by its angles as:
- Angle A = 30 degrees, which makes it an acute angle
- Angle B = 60 degrees, which makes it an acute angle
- Angle C = 90 degrees, which makes it a right angle
Therefore, triangle ABC is classified as a right triangle.
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Classify ABC by its angles if m<A= x m<B=2x and m<C=3x
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