Question

Solve for x.
Please explain step by step I would really appreciate it !!

Answer 1

`x=8`

Explanation:

The correct question is

Quadrilateral DEFG is congruent with Quadrilateral SPQR

Solve for x

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

we have that

GF and RQ are corresponding sides

so

RQ=GF

substitute the given values

`2x-4=12`

solve for x

adds 4 both sides

`2x=12+4`

`2x=16`

divide by 2 both sides

`x=8`