Question

1. use the diagram below to find the value of y. (9y + 7)° (2y + 98)° a. 13 b. 7 c. 91 d. 26

Explanation:

Step1: Identify vertical - angle property

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

Step2: Isolate variable terms

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

Step3: Isolate the variable

Subtract 7 from both sides: $7y+7 - 7=98 - 7$, getting $7y=91$.

Step4: Solve for y

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

Answer:

A. 13