1.

Find:MQR please write in notebook ​

Answer»

Given :  A circle

m arc(PQ) = 4x - 2

m arc(QR) =  7x - 18

m arc(PR) = 6x + 6

To Find : m arc(QR)  = 136°  

Solution:

Full circle 360°

m arc(QR) + m arc(PQ) + m arc ( PR)  = 360°

=> 7x - 18  + 4x - 2 + 6x + 6  = 360°

=> 17x - 14 =  360°

=> 17x  =  374°

=> x = 22

m arc(QR)  =  7x - 18

Substitute  x = 22

=> m arc(QR)  =  7(22) - 18

=> m arc(QR)  = 154 - 18

=> m arc(QR)  = 136°

m arc(QR)  = 136°  

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