Find the measure of the smallest angle of the triangle

Question

the angles are

96

2x

x + 12

Answer 1

To find the smallest angle of a triangle, we need to compare the measures of the three angles.

We are given that one angle is 96 degrees.

The second angle is 2x.

The third angle is x + 12.

To find the smallest angle, we can set up an inequality:

2x < 96 and x + 12 < 96.

Solving the first inequality:
2x < 96
Dividing both sides by 2:
x < 48

Solving the second inequality:
x + 12 < 96
Subtracting 12 from both sides:
x < 84

So, in order for x to satisfy both inequalities, it must be less than 48 and less than 84.

The smallest possible value for x is 47.

Therefore, the smallest angle of the triangle is x + 12 = 47 + 12 = 59 degrees.

Answer 2

What are the measures for all of the angles?

Answer 3

To find the measures of all the angles of the triangle, we can substitute the value of x into the given expressions.

We are given that one angle is 96 degrees.

The second angle is 2x, so substituting x = 47:
2(47) = 94 degrees.

The third angle is x + 12, so substituting x = 47:
47 + 12 = 59 degrees.

Therefore, the measures of all angles of the triangle are:
96 degrees, 94 degrees, and 59 degrees.

Answer 4

its wrong

Answer 5

Apologies for the mistake. Let's redo the calculations.

We are given that one angle is 96 degrees.

The second angle is 2x, so substituting x = 47:
2(47) = 94 degrees.

The third angle is x + 12, so substituting x = 47:
47 + 12 = 59 degrees.

Therefore, the measures of all angles of the triangle are:
96 degrees, 94 degrees, and 59 degrees.