Use the image to answer the question. Find the measure of the smallest angle of the triangle.(1 point)

Question

top angle: 96
left angle: 2x
Right Angle: x+12

Answer 1

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

Since the sum of the angles of a triangle is 180 degrees, we can set up the equation:
96 + 2x + (x + 12) = 180

Combining like terms, we have:
3x + 108 = 180

Next, subtract 108 from both sides of the equation:
3x = 72

Finally, divide both sides by 3:
x = 24

Now that we know x is equal to 24, we can substitute this value back into the original equation to find the measure of the smallest angle:

Smallest angle = x = 24

Therefore, the measure of the smallest angle of the triangle is 24 degrees.