Question

in the given figure angle AOB is a...​

Answer 1

Answer :-

(b) 86°

Step-by-step explanation :-

Given:

• AOB is a straight line
• ∠AOC = (3x + 10)°
• ∠BOC = (4x - 26)°

To find:

• Exact numerical value of ∠BOC = ?

First let's understand the concept used in solving this question.

Concept used:

→ Sum of angles on a straight line is 180°.

Solution:

Here, ∠AOC and ∠BOC lie on the straight line AOB. So, their sum would be equal to 180°

   ∠AOC + ∠BOC = 180°

⇒ (3x + 10)° + (4x - 26)° = 180°

⇒ 3x + 10 + 4x - 26 = 180°

⇒ 7x - 16 = 180°

⇒ 7x = 180° + 16°

⇒ 7x = 196

⇒ x = 196 ÷ 7

⇒ x = 28

For finding ∠BOC,

   ∠BOC = (4x - 26)°

⇒ ∠BOC = 4(28) - 26°

⇒ ∠BOC = 112° - 26°

⇒ ∠BOC = 86°

∴ ∠BOC = 86°