Question

find the value of the marked angles given in the picture​

Answer 1

Answer:

90°, 45°, 45°

Step-by-step explanation:

Angle BOD = 2x°

Angle DOE = x°

Angle EOA = x°

Angle BOD + Angle DOE + Angle EOA = 180° ( Linear pair )

2x + x + x = 180

4x = 180

x = 45

Angle BOD = 2x°

= ( 2 × 45 )°

= 90°

Angle DOE = x°

= 45°

Angle EOA = x°

= 45°

Answer 2

Answer:

AOE = 45°

EOD = 45°

DOB = 90°

Step-by-step explanation:

Angle AB = 180°...........(Linear pair)

Therefore, AOE + EOD + DOB = 180°

x° + x° +2x° = 180°

4x° = 180°

x =180

4

x = 45°.........(1)

Therefore, AOE = x° = 45°

EOD = x° = 45°

DOB = 2x = 2 × 45

= 2x = 90°