Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, we have the equation $50x+64+(38x + 28)=180$.

Step2: Combine like - terms

First, combine the $x$ terms and the constant terms: $(50x+38x)+(64 + 28)=180$, which simplifies to $88x+92 = 180$.

Step3: Isolate the variable term

Subtract 92 from both sides of the equation: $88x=180 - 92$, so $88x=88$.

Step4: Solve for $x$

Divide both sides by 88: $x=\frac{88}{88}=1$.

Answer:

$1$