Find the measure of the smallest angle of the triangle. The top of the triangle is 96° the bottom left is 2x the right on x + = 12°

Answer 1

To find the smallest angle of the triangle, we need to determine the values of x for the two other angles.

Let the bottom left angle be 2x and the bottom right angle be x + 12.

Given that the top angle is 96°, we know that the sum of all three angles in a triangle is 180°. Therefore, we can set up the equation:

96 + 2x + (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 found the value of x, we can plug it back into the expressions for the two bottom angles:

Bottom left angle: 2(24) = 48°
Bottom right angle: 24 + 12 = 36°

Therefore, the smallest angle of the triangle is 36°.