Question

The ratio of the measures of the theee angles in a triangle is 10:3:7. Find the measure of the largest angle

Answer 1

Explanation:

Let's call the measures of the three angles 10x, 3x, and 7x, where x is a positive constant.

The sum of the measures of the angles in a triangle is 180 degrees, so we can set up an equation:

10x + 3x + 7x = 180

Simplifying and combining like terms:

20x = 180

Dividing both sides by 20:

x = 9

Now we can find the measure of the largest angle, which is 7x:

7x = 7(9) = 63

Therefore, the measure of the largest angle in the triangle is 63 degrees.