The angle measure of a triangle are shown in the diagram. What is the value of x? Just type the number without degree or degree sign. | 50° (2x) (3x - 10 )

Question

asked Mar 22, 2023 212k views

1 Answer

Beev · Answer 1 · 2023-03-27T16:42:42+0000

Answer:

The value of x is;

Step-by-step explanation:

Given the triangle in the attached image.

Recall that the sum of angles in a triangle is equal to 180 degree.

Adding up all the angles in the given triangle;

$50^(\circ)+(2x)^(\circ)+(3x-10)^(\circ)=180^(\circ)$

let's now solve for x;

$\begin{gathered} 50+2x+3x-10=180 \\ 5x+40=180 \\ 5x=180-40 \\ 5x=140 \\ x=(140)/(5) \\ x=28 \end{gathered}$

Therefore, the value of x is;