Question

14 the following angles are vertical angles. find the value of y. (p.g.6.a) (9y + 7)° (2y + 98)° y =

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. So, $9y + 7=2y+98$.

Step2: Isolate the variable terms

Subtract $2y$ from both sides: $(9y - 2y)+7=(2y - 2y)+98$, which simplifies to $7y+7 = 98$.

Step3: Isolate the variable term further

Subtract 7 from both sides: $7y+(7 - 7)=98 - 7$, resulting in $7y=91$.

Step4: Solve for y

Divide both sides by 7: $\frac{7y}{7}=\frac{91}{7}$, so $y = 13$.

Answer:

$13$