Final answer:
To find the measure of the largest angle in a triangle with a given ratio, solve for x and substitute the value back into the ratio.
Step-by-step explanation:
To find the measure of the largest angle, we need to determine the value of x in the given ratio.
The ratio of the measures of the three angles in a triangle is 10:3:7. To find x, we sum up the ratio values: 10x + 3x + 7x = 180.
Combining the x terms and solving the equation, we get 20x = 180. Dividing both sides by 20, we find that x = 9.
Substituting the value of x back into the ratio, we find that the measures of the angles are 90 degrees, 27 degrees, and 63 degrees. Therefore, the largest angle in the triangle measures 90 degrees.
Learn more about Triangle angles