Question

solve for the value of x. (6x + 1)° 77°

Explanation:

Step1: Set up the equation

Since the two angles are complementary (sum to 90°), we have the equation $(6z + 1)+77=90$.

Step2: Simplify the left - hand side

$6z+1 + 77=6z + 78$. So the equation becomes $6z+78 = 90$.

Step3: Isolate the variable term

Subtract 78 from both sides: $6z=90 - 78$, so $6z=12$.

Step4: Solve for z

Divide both sides by 6: $z=\frac{12}{6}=2$.

Answer:

$2$