Find the measure of the smallest angle of the triangle

Question

the angles are

96

2x

x + 12

Answer 1

The sum of the three angles in a triangle is always 180 degrees.

Let's solve for x:

96 + 2x + x + 12 = 180

Combining like terms:

3x + 108 = 180

Subtracting 108 from both sides:

3x = 72

Dividing both sides by 3:

x = 24

Now we can substitute x = 24 into the expressions for the angles:

Smallest angle = x = 24 degrees. Answer: \boxed{24}.

Answer 2

what are the measures for all the angles

Answer 3

To find the measures of all the angles, we substitute x = 24 into each expression:

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

Therefore, the measures of the angles are:

Angle 1: 96 degrees
Angle 2: 48 degrees
Angle 3: 36 degrees