Question

In the following figure find x ​

Answer 1

Answer:

c)X=80°

right answer

Answer 2

To find:-

• Value of x.

Solution:-

We know that,

Sum of all angles forms on straight line is equal to 180°. This statement is also known as linear pair.

So,

⇒∠1 + 90° = 180° [Linear pair]

⇒∠1 = 180° - 90°

⇒∠1 = 90°

Given figure is Pentagon beacuse it have five sides and five angles.

We also know that,

Sum of all exterior angles of Pentagon is 370°.

So,

⇒∠1 + 90° + 60° + 40° + x = 360°

⇒90° + 90° + 60° + 40° + x = 360°

⇒280° + x = 360°

⇒x = 360° - 280°

⇒x = 80°

Verification:-

⇒∠1 + 90° + 60° + 40° + x = 360°

⇒90° + 90° + 60° + 40° + x = 360°

• Put x = 80°

⇒90° + 90° + 60° + 40° + 80° = 360°

⇒360° = 360°

Hence, verified.

Therefore,

Value of x is 80°.