Question

Use the image to answer the 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.
Correct answers:
136

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Using the sum of angles in a triangle, we know that:

2x + 96 + (x+12) = 180

Combine like terms:

3x + 108 = 180

Subtract 108 from both sides:

3x = 72

Divide by 3:

x = 24

Now that we have the value of x, plug it back into the angle measures:

2(24) = 48 degrees
x+12 = 24+12 = 36 degrees

The smallest angle is the angle corresponding to 2x, so it's 48 degrees.