In this rotation wxy is mapped to cba. if qon = 55, then xob measures

Measure of ∠XOB is 110°.

Step-by-step 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°.

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