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.
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:
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