Answer:
Option (4)
Step-by-step explanation:
If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.
From the given picture,
[tex]m(\angle RQS)=\frac{1}{2}(m\hat{RS}+m\hat{UT})[/tex]
95° = [tex]\frac{1}{2}(135+m\hat{UT})[/tex]
190 = 135 + [tex]m(\hat{UT})[/tex]
[tex]m(\hat{UT})=190-135[/tex]
[tex]m(\hat{UT})[/tex] = 55°
Therefore, option (4) will be the correct option.
