Question

answer the above 12 13 14 questions

Answer 1

12) 60
13) x=37,y=53
14)A=50,B=75

Answer 2

Q.13⇒
Find = x and y
Given that = PQ⊥PS ; PQ║SR
Prove = PQ║SR and SQ be the Transversal line so 
             y= ∠SQR ( Alternative interior angles )
             y = 28°
Now ∠R = 180° - 65° 
               = 115°
Now ∠S = 180 - ( 28 + 115 )
              = 180- 143
              = 37°
Now x = ∠S ( alternative interior angle )
            ⇒ x = 37°

Q.14⇒
∠C = 180 - 125 ( linear pair)
       = 55
Now A = 2x and B = 3x
          = A + B + C = 180
          = 2x + 3x + 55 = 180
           = 5x + 55 = 180
           = 5x = 180 - 55
         = 5x = 125
          = x = 125/ 5
          = x = 25
A = 2x = 2 * 25 = 50
B = 3x = 3 * 25 = 75