Question

what is the value of z? z + 47° z + 6° z z =

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, $z + 47=(z + 6)+z$.

Step2: Simplify the equation

Expand the right - hand side: $z + 47=z + 6+z$. Combine like terms: $z + 47=2z+6$.

Step3: Solve for z

Subtract z from both sides: $47=z + 6$. Then subtract 6 from both sides: $z=47 - 6$.

Answer:

$z = 41$