Question

In a quadrilateral, the angles are x°, (x + 10)°, (x + 20)°, (x + 30)°. Find the angles

Answer 1

As we know sum of all the angles of quadrilateral is 360° we can find x using this,
x+(x+10)+(x+20)+(x+30)=360
4x+60=360
4x=300
x=75.
So the angles of quadrilateral are 75,85,95&105...

Answer 2

The four angles of quadriateral are "75°, 85°, 95° and 105°".

Step-by-step explanation:

Given,

The angles of quadrilateral = x°, (x + 10)°, (x + 20)° and  (x + 30)°

To find, the four angles of quadrilateral = ?

We know that,

The sum of all angles of quadrilateral = 360°

⇒ x + (x + 10°) +(x + 20°) + (x + 30°) =360 °

⇒ 4x + 60° = 360 °

⇒ 4x = 360 ° - 60° = 300°

⇒x $=\dfrac{300}{4}$

⇒ x = 75°

∴ x + 10° = 75° + 10° = 85°,

x + 20° = 75° + 20° = 95° and

x + 30° = 75° + 00° = 105°

Hence, the four angles of quadrilateral are "75°, 85°, 95° and 105°".