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

9
27
63
90

1 answer

The total sum of the angles in a triangle is always 180 degrees.

Let the ratio be 3x:10x:7x.
So, the total sum of the angles is 3x + 10x + 7x = 180 degrees.
20x = 180 degrees.
x = 9 degrees.

Therefore, the middle sized angle is 10x = 10*9 = 90 degrees.

Answer: 90 degrees.