Question

Find the measure of the smallest angle of the triangle.(1 point) ° the angles are
1. 96
2. 2x
3. x+12

Answer 1

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

Since the sum of all angles in a triangle is 180 degrees, we can set up an equation to find the value of x:

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 the value of x, we can substitute it back into the expressions for the angles to find their values:

1. 96 degrees
2. 2x = 2(24) = 48 degrees
3. x+12 = 24+12 = 36 degrees

Therefore, the measure of the smallest angle of the triangle is 36 degrees.