Answer:
RV = 19
Step-by-step explanation:
You have a rectangle, therefore you need to know the following facts:
1. The diagonals are =
2. The diagonals bisect each other.
3. Opposite angles are =
RT = SU Diagonals are = in a rectangle
5x - 12 = 4x - 2 Solve for x
x - 12 = -2
x = -2 + 12
x = 10 Now you know RT = 5x - 12
RT = 5(10) -12
RT = 50 -12 = 38
Now diagonals of a rectangle bisects each other meaning this RT= RV + VT and RV = VT RT =38 so RV =19 and VT =19.
Next m ∠SVT = 70°. m ∠SVT = m ∠VUR are vertical angles are =
RV = VT and SV = VU. so ΔSVT = ΔVUR are congruent by SAS. Thus
m ∠SVT = m ∠VUR Corresponding parts of congruent triangles are ≅ (CPCTC)
These triangles are isosceles (two angles are = to each other.
70°+ x° + x° = 180°; 70° + 2x = 180° ; 2x = 110°; x = 55°. I hope this help.
