Question

13 use the figure to solve the following question solve for y: equation: y = (6y - 10)° (6y + 10)°

Explanation:

Step1: Recall angle - sum property

The two angles $(6y - 10)^{\circ}$ and $(6y + 10)^{\circ}$ are supplementary, so their sum is $180^{\circ}$. The equation is $(6y - 10)+(6y + 10)=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $6y-10 + 6y + 10=(6y+6y)+(-10 + 10)=12y$. So the equation becomes $12y=180$.

Step3: Solve for y

Divide both sides of the equation $12y = 180$ by 12. We get $y=\frac{180}{12}=15$.

Answer:

Equation: $(6y - 10)+(6y + 10)=180$
$y = 15$