the diagram shows a triangle. what is the value of x? x = °

the diagram shows a triangle. what is the value of x? x = °

the diagram shows a triangle. what is the value of x? x = °

Answer

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 10x + 54°+ 96°= 180°.

Step2: Simplify the left - hand side

10x+(54 + 96)°=180°, 10x + 150°= 180°.

Step3: Isolate the variable

Subtract 150° from both sides: 10x=180° - 150°, 10x = 30°.

Step4: Solve for x

Divide both sides by 10: x = $\frac{30}{10}$, x = 3°.

Answer:

3