Q:

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

Accepted Solution

A:
Answer:The measure of all the angle are 84°, 30° and 66°.Step-by-step explanation:Consider the provided information.The ratio of the measures of the three angles in a triangle is 14:5:11.The sum of all the angles of a triangle is 180°.Let the angle are 14x, 5x and 11x.Thus, the sum of the angle are 180°14x+5x+11x=180°30x=180°x=6Thus, the angle are:14×6=84°5×6=30°11×6=66°Hence, the measure of all the angle are 84°, 30° and 66°.