Question

Calculate the size of all four angles.

Answer 1

Answer:

from the given figure,

<EOC = <FOD. ( vertically opposite angle)

=> 2x - 30 = x + 10

=> 2x - x = 10 + 30

=> x = 40

so, < FOD = 40°

=> <COE = 40°

SO,

<COF = 180 - 40 = 140°

ALSO, <DOE = 140°

Answer 2

2x-30° = x+10°

x= 40°

EOC = 2x- 30°

= 2× 40 °- 30°

= 80° -30°

= 50°

EOC = DOF

DOF= 50°

EOC + COF = 180° ( linear pair )

50° + COF = 180°

COF = 180° - 50°

= 130°

COF = EOD

EOD = 130°