Question

what is the value of z? 3z - 30° z + 50° 2z z =

Explanation:

Step1: Apply triangle - angle sum property

The sum of interior angles of a triangle is 180°. So, $(3z - 30)+(z + 50)+2z=180$.

Step2: Combine like - terms

$(3z+z + 2z)+(-30 + 50)=180$, which simplifies to $6z+20 = 180$.

Step3: Isolate the variable term

Subtract 20 from both sides: $6z=180 - 20$, so $6z=160$.

Step4: Solve for z

Divide both sides by 6: $z=\frac{160}{6}=\frac{80}{3}\approx26.67$.

Answer:

$z = \frac{80}{3}$