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Explanation:

Angle PQT = 35 degrees is given. This inscribed angle subtends or cuts off minor arc PT. This is the shortest distance along the circle from P to T. Any other inscribed angle that cuts off this same arc will also be the same measure. Note how angle PRT is such an inscribed angle, so,

angle PRT = 35 degrees

which we'll use later.

Focus on triangle ROS. Interior angle O is 180-82 = 98 degrees due to it being supplementary to the 82 degree angle shown.

Triangle ROS is isosceles with OR = OS being the two equal radii. The opposite base angles R and S are congruent angles. Call them x for now

(angle O) + (angle R) + (angle S) = 180

98+x+x = 180

2x+98 = 180

2x = 180-98

2x = 82

x = 82/2

x = 41

For triangle ROS, interior angle R is 41 degrees. Put another way,

angle ORS = 41 degrees

we'll use it below along with angle PRT

angle PRS = (angle PRT) + (angle ORS)

angle PRS = (35) + (41)

angle PRS = 76 degrees

y > 1/3x

y < = -x + 4

hope this : )