Question

The measures of two angles are (5x + 24jº and (9x +12). What is the value of x if these angles are congruent? F 75 G 132 H 0.5 J 10.25

Answer 1

The measure of two angles are (5x + 24jº and (9x - 17)º

If these angles are congruent then it means they are equal and hence we can equate them.

So, the equation becomes

`(5x+24)=(9x-17)`

Let us solve the equation for x.

`\begin{gathered} 5x+24=9x-17 \\ 5x-9x=-17-24 \\ -4x=-41 \\ x=(-41)/(-4) \\ x=10.25 \end{gathered}`

Therefore, the value of x is 10.25

Option J is the correct answer.