If VW is congruent to VU, find m

Question

If VW is congruent to VU, find m<W

a. 54
b. 63
c. 79
d. 126

@mathstudent55 @sammixboo

mathstudent55 · Answer

Is there a figure?

kaekaee · Answer

attachment

mathstudent55 · Answer

Since those angles are congruent, the opposite sides are congruent.
Set the expressions of the lengths of the sides equal and solve for x.
What do you get for x?

kaekaee · Answer

Can you help me step by step to get my answer?

kinged · Answer

$$(8x-1)=(5x+23)$$
then
$$8x-5x-1=23$$
then
$$3x-1=23$$
then
$$3x=24$$
then
$$x=\frac{ 24 }{ 3 }=8$$

kaekaee · Answer

Thats not correct I believe

mathstudent55 · Answer

That was the first step, which is to solve the equation to find the value of x.
Now that you know x is 8, substitute 8 in the expression for the measure of angle W, and find the measure of the angle.

m<W = 5x + 23
Replace x with 8.
What do you get for the expression?