Question

what is the value of z? z - 30° z - 31° z z = °

Explanation:

Step1: Apply exterior - angle theorem

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $z=(z - 30)+(z - 31)$.

Step2: Simplify the equation

Expand the right - hand side: $z=z - 30+z - 31$. Combine like terms: $z = 2z-61$.

Step3: Solve for z

Subtract $z$ from both sides: $0=2z - z-61$. Then $z = 61$.

Answer:

$61$