In ΔSTU, m, angle, S, equals, left bracket, 2, x, plus, 2, right bracket, degreesm∠S=(2x+2)∘, m, angle, T, equals, left bracket, 7, x, minus, 19, right bracket, degreesm∠T=(7x−19)∘, and m, angle, U, equals, left bracket, 5, x, plus, 1, right bracket, degreesm∠U=(5x+1)∘. What is the value of x, question markx?
Since the sum of the angles in a triangle is 180 degrees, we can write the equation:
m∠S + m∠T + m∠U = 180 degrees
(2x + 2) + (7x - 19) + (5x + 1) = 180
14x - 16 = 180
14x = 196
x = 14
Therefore, the value of x is 14.
To find the value of x in this problem, we need to use the information provided about the angles in triangle STU:
m∠S = (2x + 2)°
m∠T = (7x - 19)°
m∠U = (5x + 1)°
Since the sum of the angles in a triangle is always 180°, we can write an equation to solve for x:
m∠S + m∠T + m∠U = 180
Substituting the angle measures, we have:
(2x + 2) + (7x - 19) + (5x + 1) = 180
Now, we can solve this equation for x:
2x + 2 + 7x - 19 + 5x + 1 = 180
14x - 16 = 180
14x = 196
x = 14
Therefore, the value of x is 14.
To find the value of x, we need to set up an equation using the given angle measures in the triangle.
In a triangle, the sum of all the interior angles is 180 degrees. Hence, we can write the equation as follows:
m∠S + m∠T + m∠U = 180 degrees
Substituting the given angle measures:
(2x + 2) + (7x - 19) + (5x + 1) = 180
Now, let's solve for x.
Combine like terms:
2x + 7x + 5x + 2 - 19 + 1 = 180
14x - 16 = 180
Add 16 to both sides:
14x = 196
Divide both sides by 14:
x = 196 / 14
Simplify:
x = 14
Therefore, the value of x is 14.