Question

This figure shows circle Z with chords AB and RS . mAR=55° mRB=66° AB=8 m RS=8 m What is mRS?

Answer 1

The correct answer is, mRs = 121°

Explanation:

From figure we get ,

mAR=55° mRB=66° AB=8 m RS=8 m

To find mRS

Using given information we can write,

mAB = mAR + mRB = 55 + 66 = 121°

Since AB=8 m RS=8 m,

AB = RS

⇒ mAB = mRS

mAB = 121°

Therefore mRS = 121°

The correct answer is given by,

mRS = 121°

Answer 2

m AR = 55°
m RB = 66°
Like AB=8 m =RS →m RS = m AB

m AB = m AR + m RB
m AB = 55° + 66°
m AB = 121°

m RS = m AB
M RS = 121°

Answer: m RS is 121°