Question

the diagram shows a triangle.
56°
81°
7z+8°
what is the value of z?
z = ☐°
submit

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(56 + 81 + (7z + 8) = 180\).

Step2: Simplify the left side

Calculate \(56 + 81 + 8 = 145\), so the equation becomes \(145 + 7z = 180\).

Step3: Solve for z

Subtract 145 from both sides: \(7z = 180 - 145 = 35\). Then divide by 7: \(z = \frac{35}{7} = 5\).

Answer:

\(z = 5\)