Question

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

Explanation:

Step1: Set up the equation

Since vertical angles are equal, we have \(9y + 7=2y+98\).

Step2: Subtract \(2y\) from both sides

\(9y-2y + 7=2y-2y + 98\), which simplifies to \(7y+7 = 98\).

Step3: Subtract \(7\) from both sides

\(7y+7-7=98 - 7\), so \(7y=91\).

Step4: Divide both sides by \(7\)

\(y=\frac{91}{7}\).

Answer:

\(13\)