Question

If the three interior angles of a triangle measure x°, (2x - 12)°, and (3x)°, what is the measure of each angle?

a) 30°, 48°, 90°
b) 40°, 60°, 80°
c) 20°, 60°, 100°
d) 45°, 75°, 120°

Answer 1

The measure of each angle in the triangle is 32 degrees, 52 degrees, and 96 degrees.

Step-by-step explanation:

To find the measure of each angle in the triangle, we can set up an equation. Since the sum of the interior angles of a triangle is always 180 degrees, we can write the equation as follows:

x + (2x - 12) + 3x = 180

Combining like terms, we have:

6x - 12 = 180

Adding 12 to both sides, we get:

6x = 192

Dividing both sides by 6, we find that x = 32.

Substituting the value of x back into the original equation, we can find the measure of each angle:

Angle 1: x = 32 degrees

Angle 2: 2x - 12 = 2(32) - 12 = 52 degrees

Angle 3: 3x = 3(32) = 96 degrees

Therefore, the measure of each angle in the triangle is 32 degrees, 52 degrees, and 96 degrees.