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Question

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 point)
°

Answer 1

To find the measure of the smallest angle of the triangle, we need to find the value of x.

Given that the triangle has angles measuring 2x, 96 degrees, and x + 12 degrees, we can set up an equation:

2x + 96 + x + 12 = 180

Combining like terms:

3x + 108 = 180

Subtracting 108 from both sides:

3x = 72

Dividing both sides by 3:

x = 24

Now, we can substitute the value of x back into the equation to find the measure of the smallest angle:

Smallest angle = 2x = 2(24) = 48 degrees

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