Question

please solve this with explanation please help​

Answer 1

Answer:

Q3)

  Angle x = 45 degrees

  Angle y = 90 degrees

  Angle z = 30 degrees

Q4)

  angle 2 = 120 degrees

  angle 3 = 60 degrees

  angle 4 = 120 degrees

  angle 5 = 60 degrees

  angle 6 = 120 degrees

  angle 7 = 60 degrees

  angle 8 = 120 degrees

Step-by-step explanation:

Q3)

  Angle BXD = 90 degrees

  Angle BXC = 45 degrees

∴ Angle CXD = 90- 45 = 45 degrees

∴  Angle X = 45 degrees

  Angle DOF = 90 degrees

  Angle DOE = 60 degrees

∴ Angle EZF = 90 - 60 = 30 degrees

∴ Angle Z = 30 degrees

  Angle BYA = 90 degrees

∴ Angle Y = 90 degrees

Q 4) Here, Angle 1 (given angle) = 60 degrees

       If, line E = 180 degrees, then Angle 2 will be 180 - 60 degrees i.e 120°

       ∴ angle 2 = 120 degrees

      If angle 2 = 120 degrees, then, the opposite angle will also be 120 degrees

      i.e angle 4 = 120 degrees

     If angle 4 = 120 degrees, then angle 3 = 60 degrees

     ∴ angle 3= 60 degrees

     If angle 1 = 60 degrees then, angle 5 and 7 will also be 60 degrees.

    ∴ if angle 5 and angle 7 = 60 degrees, angle 6 and angle 8 = 120 degrees

    ∴  angle 5 = 60 degrees

    ∴  angle 7 = 60  degrees

    ∴ angle 6 = 120 degrees

    ∴ angle 8 = 120 degrees

Hope it helps :)