Question

in a triangle, one angle is 35°, another is 25°, and the third is 4z°. z = ____

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation $35 + 25+4z=180$.

Step2: Simplify the left - hand side

$35 + 25=60$, so the equation becomes $60 + 4z=180$.

Step3: Isolate the variable term

Subtract 60 from both sides of the equation: $4z=180 - 60$.
$4z=120$.

Step4: Solve for z

Divide both sides of the equation by 4: $z=\frac{120}{4}$.
$z = 30$.

Answer:

30