Question

In δstu, m, ∠s=(2x 2) ∘ , ∠t=(7x−19) ∘ , and ∠u=(5x 1) ∘ . what is the value of x?

A) 5
B) 6
C) 7
D) 8

Answer 1

To find the value of x, set up an equation using the angle measurements of the triangle. Solve for x by simplifying the equation and isolating x. The value of x is 14.

Step-by-step explanation:

To find the value of x, we need to set up an equation using the angle measurements of the triangle. According to the given information, ∠s = (2x 2)°, ∠t = (7x - 19)°, and ∠u = (5x 1)°. Since the sum of the angles in a triangle is always 180°, we can write the equation:

(2x + 2) + (7x - 19) + (5x + 1) = 180

Simplify the equation by combining like terms:

14x - 16 = 180

Add 16 to both sides of the equation:

14x = 196

Divide both sides of the equation by 14:

x = 14

Therefore, the value of x is 14.