Question

One interior angle of a hexagon is 165° and the measure of remaining interior angle is x° then find out the measure of all the angles.

Answer 1

Sum of interior angles of a hexagon 

= (n – 2) x 180° 

= (6 – 2) x 180°

= 4 x 180° = 720° 

According to question, 

⇒ 165° + x° + x° + x° + x° + x° = 720° 

⇒ 165° + 5x° = 720° 

⇒ 5x° = 720° – 165° 

⇒ 5x° = 555° 

⇒ 5x = 555 

⇒ x = 555/5 

⇒ x = 111