Answer:
see explanation
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, then
19x - 9 = 13x + 15 ( subtract 13x from both sides )
6x - 9 = 15 ( add 9 to both sides )
6x = 24 ( divide both sides by 6 )
x = 4
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Consecutive angles are supplementary, sum to 180° , that is
10y - 37 + 4y + 7 = 180
14y - 30 = 180 ( add 30 to both sides )
14y = 210 ( divide both sides by 14 )
y = 15
Then
∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°
Then
∠ P = 113° ( opposite angles are congruent )
