Question

in the figure ,if angle 4=105 degree and angle 5 = 55 degree, find angle 1 angle 2 angle 3 angle 6​

Answer 1

Answer:

angle 1=75

angle 3=75

angle 6=105

angle 2=105

Step-by-step explanation:

angle 4 = angle 2=105 (vertically opposite angles)

angle 4 = angle 6=105 (corrosponding angles)

angle 4+angle 1=180 (linear pair)

105+angle 1=180

angle 1=180-105

angle 1=75

angle 1 = angle 3 =75 degree(vertically opposite angle)

Answer 2

Answer:

Given

Angle 4 =105 °

Angle 5 =55°

Find ,

Angle 1,2,3 and 6

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

55°+ angle 6 = 180°

Angle 6 = 180°- 55°

Angle 6 = 125°

Angle 4 + Angle 3 = 180° ( by linear pair)

105° + Angle 3 = 180°

Angle 3 = 180°- 105°

Angle 3 = 75°

Angle 3 + Angle 2 = 180° ( by linear pair)

75° + Angle 2 = 180°

Angle 2 = 180°- 75°

Angle 2 = 105°

OR

Angle 4 = Angle 2 ( by vertically opposite angle )

Angle 2 = 105°

Angle 2 + Angle 1 = 180°

105° + Angle 1 = 180°

Angle 1 = 180°- 105°

Angle 1 = 75°

OR

Angle 3 = Angle 1 ( by vertically opposite angle)

Angle 1 = 75°

Therefore,

Angle 1 = 75°

Angle 2 = 105°

Angle 3 = 75°

Angle 6 = 125°

Step-by-step explanation:

Hope this will help you