Yes i believe it’s completely wrong
1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given
2.) RS≅RS | Reflexive Property
3.) △RST ≅ △RSQ | AAS Triangle Congruence Property
Well
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sorry
One scale factor equation is y=cx
y is the new factor (in this case, 60 or 75)
c is the scale factor (in this case, unknown)
x is the old factor (in this case, 24 or 30)
so: plug in the values
60=c(24) divide both sides by 24
c=2.5
you can check again with the other numbers
75=c(30) divide both sides by 30.
c= 2.5
your scale factor is 2.5
The sum of interior angles of a triangle is always* 180°, so the following triangles are possible:
- 90°, 40°, 50°
- 82°, 38°, 60°
- 59°, 31°, 90°
_____
The following are not possible triangles.
- 65°, 25°, 75° — add to 165° ≠ 180°
- 57°, 70°, 33° — add to 160° ≠ 180°
_____
* in plane Euclidean geometry. There are other topologies such that the sum of angles of a triangle differs from 180°.
