Question

ZA and ZB are vertical angles. If mA = (3x + 13) and m B = = (5x +9), then find the measure of ZA.

Answer 1

A=19

Step-by-step explanation

Vertical Angles are the angles opposite each other when two lines cross

Step 1

let

`A=B`

where

`\begin{gathered} A=3x+13 \\ B=5x+9 \end{gathered}`

Step 2

replace,

`\begin{gathered} A=B \\ 3x+13=5x+9 \end{gathered}`

Step 3

solve for x

`\begin{gathered} 3x+13=5x+9 \\ 13-9=5x-3x \\ 4=2x \\ x=(4)/(2) \\ x=2 \end{gathered}`

Step 4

finally, replace the valur of x= 2 to find A

`\begin{gathered} A=3x+13 \\ A=3\cdot2+13 \\ A=6+13 \\ A=19 \end{gathered}`

I hope this helps you