The measures of the angles of a triangle are x, 2x, and 3x. How do you find the measure of each angle?

Answer 1

Abigail Allen

Sum of internal angles of any triangle = #180^\circ#

# :. x + 2x + 3x = 180^\circ# # :. 6x = 180^\circ# # :. x = 30^\circ#

So the angles are: #30^\circ#, #60^\circ# and #90^\circ#

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Answer 2

Savannah Anderson

To find the measure of each angle of a triangle, you can use the fact that the sum of the angles in a triangle is always 180 degrees. So, you set up the equation: x + 2x + 3x = 180. Then, you solve for x: x + 2x + 3x = 180 => 6x = 180 => x = 30. Once you have found the value of x, you can substitute it back into the expressions for the angles: x = 30 degrees, 2x = 60 degrees, and 3x = 90 degrees. Therefore, the measures of the angles are 30 degrees, 60 degrees, and 90 degrees.

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