Question

The measures of two angles of a triangle are each four times the measure of the third angle. What is the measure of the third angle?

Answer 1

To find the measure of the third angle in a triangle, you can set up an equation using the fact that the sum of the angles in a triangle is 180 degrees. By solving the equation, you can find the measure of the third angle.

Step-by-step explanation:

To find the measure of the third angle in a triangle, we first let 'x' represent the measure of the third angle. The other two angles are each four times the measure of the third angle. So, the measure of one of the other angles would be 4x, and the measure of the remaining angle would also be 4x. The sum of the angles in a triangle is 180 degrees, so we can write the equation:

x + 4x + 4x = 180

Combining like terms, we get:

9x = 180

Dividing both sides of the equation by 9, we find that x = 20.

Therefore, the measure of the third angle is 20 degrees.