Question

in the figure triangle XYZ congruent to triangle XWV.if XY is equal to 18 and XW is equal to y +8,find the value of y

Answer 1

Hi friend!

Answer:

When we write that one figure is congruent to other, the corresponding vertices are written in the same order.

This means that, ∆XYZ ≈ ∆XWV would be expanded as:

XY = XW
YZ = WV
XZ = VX
Angle X = Angle X
Angle Y = Angle W
Angle Z = Angle V

So here, XY is 18 and XW is y+8. As we saw above, these both are equal. So we get the equation as:

y + 8 = 18
y = 18 - 8
y = 10

Here's your answer — y = 10.

Hope you found my answer helpful. Keep Smiling!