One interior angle of a hexagon is 165° and the measure of remaining

1.	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» 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

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»

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