Answer:
Step-by
Q1
PROOF
consider triangle ACT and ARD
CA=CA [GIVEN]
angle 1 = angle 2 [GIVEN]
angle CAT = angle RAD [OPPOSITE ANGLES]
hence ,triangle ACT is congruent to triangle ARD [by SAS]
hence , angle 3 = angle 4 [ by cpct]
Q2
PROOF
consider triangle TSU and TVU
TU =TU [commn]
UV = US [given]
angle TUS = angle TUV [ given]
hence, triangle TSU congruent to TVU [ by SAS]
hence, VT = ST
Q3
PROOF
consider triangle ABC and ADC
AC = AC [ common]
angle ACB = angle ACD [given ]
angle ADC = angle ABC [ 90 degree ]
hence they are congruent [by AAS]
BC = DC [ CPCT]
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