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

Answer:

$2$

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. So, $19z + 112+15z=180$.

Step2: Combine like - terms

$(19z + 15z)+112 = 180$, which simplifies to $34z+112 = 180$.

Step3: Isolate the variable term

Subtract 112 from both sides: $34z=180 - 112$, so $34z = 68$.

Step4: Solve for z

Divide both sides by 34: $z=\frac{68}{34}=2$.