Question

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

Use numerals instead of words.If necessary, use / for the fraction bar(s).

Answer 1

x=10 and y=6

Explanation:

he explained it above/below but only provided one answer

Answer 2

The value of y is 6 units.

Solution-

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

`\Rightarrow x-y=4` --------------1

`\Rightarrow x-8=2`

`\Rightarrow x=10` --------------------2

Putting the values of x in equation 1,

`\Rightarrow 10-y=4`

`\Rightarrow y=10-4=6`

Therefore, the value of y is 6 units.