This figure shows circle z with chords ab and rs .

mar=55°
mrb=66°
ab=8 m
rs=8 m

what is mrs ?

enter your answer in the box

The measure of the angle m ∠RS is 55°.

Given that,

The figure shows circle Z with chords AB and RS.

m ∠AR = 55° , m ∠RB = 66°

AB = 8m , RS = 8m

We have to determine,

What is the measure of m ∠RS?

According to the question,

To determine the length of  m ∠RS following all the steps given below.

From the given figure we can conclude that the chords are equal, the arcs are equal too.

AB = RS

Then,

AB = AR + RB

and RS = RB + BS.

The length of m ∠AR is equal to the length of m ∠RS

Where

Therefore,

Hence, The measure of the angle m ∠RS is 55°.

For more details refer to the link given below.

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