Question

the diagram shows a triangle.
what is the value of z?
z = \square^\circ
submit
work it out

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(2z + 5z + 33^\circ = 180^\circ\).

Step2: Combine like terms

Simplify the left - hand side: \(7z+33 = 180\).

Step3: Solve for z

Subtract 33 from both sides: \(7z=180 - 33=147\). Then divide by 7: \(z=\frac{147}{7} = 21\).

Answer:

\(21\)