Question

what is the value of z?
z =
submit

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $z + 50=(z)+(z - 16)$.

Step2: Simplify the equation

Expand the right - hand side: $z + 50=z+z - 16$.
Combine like terms: $z + 50=2z-16$.

Step3: Solve for z

Add 16 to both sides: $z+50 + 16=2z-16 + 16$, which gives $z + 66=2z$.
Subtract z from both sides: $z - z+66=2z - z$.

Answer:

$66$