The ratio of the angles in a triangle is 3:10:7. What is the measure of the middle sized angle?

1 answer

To find the measure of the middle sized angle, we first need to find the total number of parts in the ratio. The total number of parts in the ratio is 3 + 10 + 7 = 20.

Next, we need to find the measure of the middle sized angle. Since the middle sized angle is represented by 10 parts in the ratio, we can calculate its measure by finding:

Middle sized angle = (10 parts / 20 total parts) * 180 degrees
Middle sized angle = (1/2) * 180 degrees
Middle sized angle = 90 degrees

Therefore, the measure of the middle sized angle in the triangle is 90 degrees.