Question

Pls help with sum geometry

Answer 1

`\Large \boxed{\mathrm{D}}`

Explanation:

The triangles can be proven by AA or Angle-Angle similarity.

`\angle QUR \cong \angle TUS`

The vertical angles are congruent.

`\angle R \cong \angle S`

The alternate interior angles are congruent.

Answer 2

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA