Question

2. The angles of a triangle measure 3x, 4x, and 5.x. Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle.
A. 45"
B. 40°
C. 50"
D. 75°

Answer 1

Wrong

Answer 2

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180°. Therefore, we can set up the equation:

3x + 4x + 5x = 180°

Combining like terms, we get:

12x = 180°

Dividing both sides by 12, we find:

x = 15°

Therefore, the smallest angle of the triangle is:

3(15°) = 45°.

Therefore, the answer is:

A. 45°

Answer 3

Apologies for the incorrect response.

Since the sum of the angles in a triangle is always 180°, we can set up the equation:

3x + 4x + 5x = 180°

Combining like terms, we get:

12x = 180°

Dividing both sides by 12, we find:

x = 15°

To find the measure of the smallest angle, we substitute x back into the equation:

3(15°) = 45°

Therefore, the measure of the smallest angle in this triangle is 45°.

The correct answer is:

A. 45°