Question

In the given figure, AOB is a straight line. Find the value of x​

Answer 1

Answer:

x = 36°

Step-by-step explanation:

Given:

• ∠AOC = x
• ∠COD = 90°      (That symbol indicates 90°)
• ∠DOB = 54°

To find:

∠AOC = x = ?

Concept used:

The sum of all angles lying on a straight line is always 180°

Solution:

Applying the above concept,

    ∠AOC + ∠COD + ∠DOB = 180°

⇒ x + 90° + 54° = 180°

⇒ x + 144° = 180°

⇒ x = 180° - 144°

⇒ x = 36°

∴ The value of x = 36°

Answer 2

✫ɢɪᴠᴇɴ:-

• ∠DOB = 54°
• ∠COD = 90°

✫ᴛᴏ ғɪɴᴅ:-

• ∠AOC

✫sᴏʟᴜᴛɪᴏɴ:-

Let ∠AOC be x

As we know that the angles of a straight line are 180°

NOW ATQ:-

$\sf\red:\Longrightarrow\blue{x + 54° + 90° = 180°}$

$\sf\red:\Longrightarrow\blue{x + 144° = 180°}$

$\sf\red:\Longrightarrow\blue{x = 180° - 144°}$

$\sf\red:\Longrightarrow\blue{x = 36° \: Answer}$

Hence the value of ∠AOC is 36°