Question

what is the value of z? z + 3° z + 33° z =

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $z + 33^{\circ}=(z + 3^{\circ})+z$.

Step2: Simplify the equation

Expand the right - hand side: $z + 33^{\circ}=z + 3^{\circ}+z$. Combine like terms: $z+33^{\circ}=2z + 3^{\circ}$.

Step3: Solve for z

Subtract z from both sides: $33^{\circ}=z + 3^{\circ}$. Then subtract $3^{\circ}$ from both sides: $z=30^{\circ}$.

Answer:

$30$