Question

in figure ab is parallel to CD if angle 2 is equal to 2 X + 30 angle 4 is equal to X + 2 Y and angle 6 is equal to 3 Y + 30 find angle 5​

Answer 1

Answer:g

drgp dr rgdgdrgdgdrgdrgdrg

Answer 2

Answer: Angle 5 is 50°.

Step-by-step explanation: angle 2 = angle 4 (vertically opposite angle)

                                            2x+30 = x+2y

                                            2x-x = 2y-30

                                             x = 2y-30    - equation 1

                                           

angle 4 = angle 6 (alternate interior angles)

 x+2y = 3y+10

 x = y+10     -equation 2

comparing equations 1 and 2

2y-30 = y+10

y = 40°

angle 5 + angle 6 = 180°  (linear pair)

angle 5 + 3y+10 = 180°

angle 5 + 3(40°) +10 = 180°

angle 5 + 120° +10 = 180°

angle 5 + 130° = 180°

angle 5 = 180° - 130°

angle 5 = 50°