Question

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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $(z + 26)+(z + 22)+4z=180$.

Step2: Combine like - terms

$(z+z + 4z)+(26 + 22)=180$, which simplifies to $6z+48 = 180$.

Step3: Isolate the variable term

Subtract 48 from both sides: $6z=180 - 48$, so $6z=132$.

Step4: Solve for z

Divide both sides by 6: $z=\frac{132}{6}=22$.

Answer:

$22$