Answer: Measure of ∠XOB is 110°.
Explanation:
Since we have given that
In this rotation , WXY is mapped to CBA.
According to mapping, WXY is mapped to TSR.
So, X is corresponds to S
So, it will form equal angle say ∠1.
Similarly,
TSR is mapped to CBA.
So, S is correspond to B forming equal angle say ∠2.
As shown in the figure.
Now, we have already given that
∠1+∠2=55°
so, ∠1+∠1+∠2+∠2=∠XOB
2(∠1+∠2)=∠XOB
2×55°=∠XOB
110°=∠XOB.
Hence, Measure of ∠XOB is 110°.