Question

The angles of a triangle are in the ratio of 7:6:2. Find the

measure of each angle.
O 84, 72, 24
O 42, 36, 12
O 56, 48, 16
O 90,80 10

Answer 1

The angles of the triangle are 84, 72, and 24 degrees.

Step-by-step explanation:

Let the angles of the triangle be 7x, 6x, and 2x. The sum of the angles in a triangle is 180 degrees.

Therefore, we can write the equation:

7x + 6x + 2x = 180

Combining like terms:

15x = 180

Dividing both sides by 15:

x = 12

Substituting the value of x back into the angles:

7x = 7 * 12 = 84 degrees

6x = 6 * 12 = 72 degrees

2x = 2 * 12 = 24 degrees

Therefore, the measure of each angle is 84, 72, and 24 degrees.

Learn more about Triangle angles