Question

. In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find

∠AOC and ∠BOD.​

Answer 1

Answer:

x=28

Step-by-step explanation:

55 +(3x-7) +(x+20)=180. (straight line)

=>55+3x-7+x+20=180

=>4x+55+20-7=180

=>4x+75-7=180

=>4x+68=180

=>4x=180-68

=>4x=112

=>x=112/4

=>x=28

Answer 2

Step-by-step explanation:

given,

Angle DOB = (x + 20)

Angle COD = 55°

Angle COA = (3x - 7)°

we know

sum of all angles on a straight line is 180°

so,

Angle,

DOB + COD + COA = AOB

after inserting the values we got,

→ x + 20 + 55° + 3x - 7 = 180

→ 4x + 68° = 180

→ 4x = 180 - 68 = 112°

→ x = 112/4 = 28°

therefore,

Angle AOC / COA = 3x - 7 = 3(28) - 7 = 77°

Angle BOD / DOB = x + 20° = 28 + 20 = 48°

hope this answer helps you dear!