Question

The ratio of the measures of the three angles in a triangle is 14:5:11. Find the value of x

Answer 1

The three angles are 84º, 30º, and 66º. You multiply the ratio 14:5:11 by 6º.

Explanation:

The sum of a triangle's interior angles is 180º. From the information we know:

• 14xº+5xº+11xº=180º
• Combine like terms, 30xº=180º
• Divide, xº=6º

Now we can say that the three angles are 14(6)=84º, 5(6)=30º, 11(6)=66º.