Question

The measures of the angles of a triangle are in the ratio 1:5:6. What are the measures of the angles? (Hint: Let x, 5x, and 6x represent the angle measures.) The angle measures that correspond to the ration 1:5:6 in ASCENDING order are ___, ___, and ___.

Answer 1

To find the measures of the angles in the triangle, we can set up an equation using the ratio and solve for x. Then, we can substitute the value of x to find the individual measures of the angles.

Step-by-step explanation:

To find the measures of the angles in a triangle with a ratio of 1:5:6, we can let x represent the smallest angle, 5x represent the middle angle, and 6x represent the largest angle. Since the sum of the angles in a triangle is 180 degrees, we can set up an equation: x + 5x + 6x = 180. Combining like terms, we get 12x = 180. Dividing both sides by 12, we find that x = 15. Therefore, the measures of the angles are: x = 15 degrees, 5x = 75 degrees, and 6x = 90 degrees.

Learn more about Angles in a Triangle