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A triangle is shown with its angles measuring 2 x, 96 degrees, and x plus 12 degrees.

Find the measure of the smallest angle of the triangle.

1 answer

To find the measure of the smallest angle of the triangle, we can add up all the angles and set it equal to 180 degrees (since the angles of a triangle add up to 180 degrees).

2x + 96 + x + 12 = 180
3x + 108 = 180
3x = 72
x = 24

Now plug in the value of x to find the measure of the smallest angle:
2(24) = 48

Therefore, the smallest angle of the triangle is 48 degrees.