The measure of one angle in a triangle is 2x degrees , the second angle is 3x+10 degrees and the thrust is 4x-19 degrees . Find the value of x and the measures of all three angles .

Answer 1

Since the sum of all angles in a triangle is always 180 degrees, we have:

2x + (3x + 10) + (4x - 19) = 180

9x - 9 = 180

9x = 189

x = 21

Now we can find the measures of each angle:

First angle: 2x = 2 * 21 = 42 degrees
Second angle: 3x + 10 = 3 * 21 + 10 = 73 degrees
Third angle: 4x - 19 = 4 * 21 - 19 = 85 degrees