Question 458893
The sum of the interior angles of a triangle is 180 degrees. The total of the three given angles is:
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{{{2x+4x+6x = 12x}}}
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So you can say that the total of the three angles equals 180 degrees. Then solve for x and find each of the three angles:
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{{{12x = 180}}}
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Solve for x by dividing both sides of this equation by 12 to get:
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{{{x = 180/12}}}
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{{{x = 15}}}
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Now that you know x is 15 degrees you can determine the three angles.
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The first angle is 2x or 2 times 15 degrees. So this angle is 30 degrees.
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The second angle is 4x or 4 times 15 degrees. So this angle is 60 degrees.
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The last angle is 6x or 6 times 15 degrees. So this angle is 90 degrees.
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These results make it apparent that the triangle is a right triangle because one of the angles is 90 degrees.
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Hope this helps you to see how this problem can be worked. Make sure that you understand the method.  Good luck with your math studies.