Question

Please solve this and tell me the answer...(Find x)

Answer 1

3x-7+(55)+X+20

4x+48+20=180

4x=180-68

4x=12

X=3

Answer 2

Solution:

From the figure, we know that ∠AOB is a straight line.

So we get,

$\implies$ ∠AOB = 180°

It can also be written as:

$\implies$ ∠AOC + ∠COD + ∠BOD = 180°

By substituting the values, we get:

$\implies$ (3x - 7)°+ 55° + (x + 20)° = 180°

$\implies$ 3x - 7° + 55° + x + 20° = 180°

On further calculation:

$\implies$ 4x + 68°= 180°

$\implies$ 4x = 112°

$\implies$ x = 112/4

$\implies$ x = 28°

By substituting the value of x we get:

$\implies$ ∠AOC = (3x - 7)°

$\implies$ ∠AOC = 3 (28°) - 7°

$\implies$ ∠AOC = 84°- 7°

$\implies$ ∠AOC = 77°

And:

$\implies$ ∠BOD = (x + 20)°

$\implies$ ∠BOD = (28 + 20)°

$\implies$ ∠BOD = 48°

Hence:

The value is x is 28°, ∠AOC is 77° and ∠BOD is 48°.

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Answered by: Niki Swar, Goa❤️