Lines R and S are parallel. Find the value of x, then find the measure of 21 and 22. m21=(74 - x)º
m22 =(85 – 2x)

a) The value of  x = 11°

b) m21 =  63°

 m22= 63°

Step-by-step explanation:

Step(i):-

Given that the lines R and S are parallel

Given that M21  = (74-x)°

                  M22 = (85-2x)°

Equating angles

             (74-x)° = (85-2x)°

             74 - 85 = x -2x

               -11 = -x

                 x = 11°

Step(ii):-

Put x = 11°

⇒  m21 = ( 74 -11) ° = 63°

⇒  m22 = (85-2(11))° = (85-22)° = 63°

Final -

a) The value of  x = 11°

b) m21 =  63°

 m22= 63°

the answer is here: : )

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