Question

please answer with explanation​

Answer 1

Answer:

(i) 36°  (ii) 108°  (iii) 72°

Step-by-step explanation:

(i) Angle 2x and angle 3x = 180° [Alternate angles]

             2x+3x = 180

                   x= 180/5

                     x= 36 [ANS]

(ii)   Angle PLM = 2x [opposite angles, opposite to 2x]

       We know, angle PLM + Angle LMN = 180

                         Angle LMN = 180 - angle PLM

                                               = 180 - (2* 36)

                                               =  108 [ANS]

(iii)  We know, Angle PNM + Angle PND = 180 [Angles on a straight line]

    If Angle PNM = 3x that means 3*36

               which is 108

     So,    Angle PND = 180 - Angle PNM

                                 = 180- 108

                                 = 72 [ANS]

P.S This is my first time writting an answer, hope it helps !