Question

in quadrilaterl the angles x°(x+10)°,(x+20)°, (x+30)°. find the angles​

Answer 1

Step-by-step explanation:

Mark me as brainliest

Answer 2

Given : In a quadrilateral the angles are x° (x + 10)° (x + 20)° and (x + 30)°

To Find : Those angles.

⠀⠀⠀⠀⠀⠀_______________

Here

• 1st angle of the quadrilateral = x°
• 2nd angle of the quadrilateral = (x + 10)°
• 3rd angle of the quadrilateral = (x + 20)°
• 4th angle of the quadrilateral = (x + 30)°

As we know that :

• Sum of the angles of a quadrilateral is 360°

Now, we'll put the values in the formula and find the value of x and then we can find all angles of the quadrilateral.

=> x + (x + 10) + (x + 20) + (x + 30) = 360

=> x + x + 10 + x + 20 + x + 30 = 360

=> x + x + x + x + 10 + 20 + 30 = 360

=> 4x + 60 = 360

=> 4x = 360 - 60

=> 4x = 300

=> x = 300/4

=> x = 75

Now, put the value of x in the angles.

• 1st angle = x = 75°
• 2nd angle = x + 10 = 85°
• 3rd angle = x + 20 = 95°
• 4th angle = x + 30 = 105°

∴ Hence, all angles of the quadrilateral are 75°, 85°, 95° and 105° respectively.