Question

only answer if you know ​

Answer 1

Answer:

Step-by-step explanation:

If the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

As MN and PQ are parallel, based on this midpoint theorem we can come to a conclusion that M and N are the midpoints of the sides PR and RQ respectively.

That means x + 1 = x - 1

                    x +4 = x + 1

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

But they don't have to necessarily be same size.

So, we can say here RMN and RPQ are similar triangles.

To find the x we can use ratio of corresponding sides

$\frac{x+1}{x-1} : \frac{x+4}{x+1}$

If we multiply diagonally,

(x+1) (x+1) = (x-1)(x+4)

$x^{2} +2x+1$=$x^{2} +3x-4$

1+4 = $x^{2} +3x - x^{2}-2x$

5 = x

So, x=5

Hope it was understandable.

If it was helpful, please mark me as brainliest.