Question

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

Answer 1

Answer:

x= 75

then angles are

75,85,95, 105

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Answer 2

Answer:

The angles are found to be 75°,85°, 105°, and 95°.

Step-by-step explanation:

As we know that a quadrilateral has 4 different angles and also their sum total is found to be 360° by the angle sum property of the given quadrilateral. Therefore in the question here we have been given that the four angles of the quadrilateral are as follows:

x°, (x+10)°, (x+30)°, (x+20)° respectively.

Now we add them all and calculate the particular value of x,

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

⇒ 4x° + 60° = 360°

⇒ 4x° = 360° - 60°

⇒ 4x° = 300°

⇒ x° = 300° ÷ 4

⇒ x° = 75°

Hence the following are the angles of the quadrilateral:

x° = 75°

⇒(x + 10)° = (75 + 10)° = 85°

⇒(x + 20)° = (75 + 20)° = 95°

⇒(x + 30)° = (75 + 30)° = 105°

Hence the angles are 75°,85°, 105°, and 95° respectively.