Maths-

General

Easy

Question

# Find the value of x.

Hint:

- The angle made by a straight line is called a straight angle.
- Measure of straight angle is 180o.

## The correct answer is: 44

### Step by step explanation:

- Given :𝑚∠AOB = (x + 4)°

𝑚∠BOC = 3x°.

- Step 1 : From the figure it is clear that,

∠POS is straight angle hence ∠AOC = 180^{o}.

and

∠AOC = ∠AOB + ∠BOC

- Step 2 : Put values of ∠AOC and ∠BOC

∠AOC = ∠AOB + ∠BOC

180 = (x + 4) + 3x

180 = 3x + x + 4

180 = 4x + 4

4x = 180 - 4

4x = 176

x =

x = 44

- Final Answer:

Hence, the value of x is 44.

- Given :𝑚∠AOB = (x + 4)°

^{o}.

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