measure for smallest angles of the triangle

Question

96
2x
x+12

Answer 1

To find the measure of the smallest angles of the triangle, we need to set up an equation using the sum of the angles in a triangle.

Given:
Smallest angle = x
Second smallest angle = 2x
Largest angle = x + 12

Since the sum of all the angles in a triangle is always 180 degrees, we can write the equation:

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

Combining like terms:
4x + 12 = 180

Subtracting 12 from both sides:
4x = 168

Dividing by 4:
x = 42

Therefore, the smallest angle of the triangle is 42 degrees.