Question

in a quadrilateral the difference between a successive angles. when arranged in ascending order is 20 each find the angles

Answer 1

Step-by-step explanation:

Given that:In a quadrilateral the difference between a successive angles. when arranged in ascending order is 20 each.

To find: The angles of Quadrilateral

Solution:

To find the angles of Quadrilateral,first apply the angle sum property of Quadrilateral

We know that sum of all four internal angles of Quadrilateral are 360°.

Let the smallest angle is x°

then next angle is x°+20

next is x°+40 and largest angle is x°+60

$x° + x° + 20° + x° + 40° + x° + 60° = 360° \\ \\ 4x° + 120° = 360° \\ \\ 4x° = 360° - 120° \\ \\ 4x° = 240° \\ \\ x° = \frac{240°}{4} \\ \\ x° = 60°$

Thus,

Smaller angle is x°=60°,

next angle is x°+20°=80° ,

next angle is x°+40°=100°

and largest angle x°+60°=120°.

Angles are 60°,80°,100° and 120°.

Hope it helps you.

Answer 2

Answer:

60 degree

80 degree

100 degree

120 degree