The measure of the angles of a triangle are in a ratio of 2 : 3 : 7. Find the number of degrees in the largest angle of the triangle.

105°

Explanation:

The ratio is 2 : 3 : 7 let's call them 12x in total

12x = 180° (the total of interior angles in a triangle)

X=15

To find the biggest angle multply 15 and 7 the answer is 105

The largest angle in the triangle multiplying the value of x to 15 and 7 the highest angle is 105 degrees.

Explanation:

The measure of the angles of a triangle are in a ratio of 2:3:7. Then the largest angle of the triangle is supposed to be 105 degrees. So for explanation, let's take the ratio of 2:3:7 and call them 12 x in total.

Next the equation will go as 12x=180 degrees. The total angles a triangle consists of is 180 degrees. So moving 12 to the other side and we get x equals to 180 divided by 12.

Dividing the number, we get x is equals to 15. Now to find the largest angle in the triangle multiplying the value of x to 15 and 7 the highest angle is 105 degrees.