Which values of x and y make RAPT a parallelogram?

Question

angle T= (3x +10) degrees 

angle R= 5y degrees

angle P= (8x +5) degrees 

no number for angle A

Answer 1

angle T and angle P are supplementary by parallel lines.

 

3x + 10 + 8x + 5 = 180

 

11x + 15 = 180

 

11x = 165

 

x = 15

 

T is 55 

P is 125

 

LIkewise R and T are supplementary by parallel lines

55 + 5y = 180

5y = 180 -55

5y = 125

y = 25

 

R = 125

 

A must be 55 since the angles add up 360.

 

R + A + P + T = 

125 + 55 + 125 + 55 = 360.

 

 

The answers are in bold and proven to be correct.