Question

the angle of quadrilateral are in the ratio 4:5:10:11 the angles are
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Answer 1

Answer:

Given

ratio is4:5:10:11

So?

Let angles be 4x, 5x, 10x, 11x

Then

Sum of all angles in a quadrilateral is 360

So....4x+5x+10x+11x=360

30x=360

x=12

Therfore angles are,

4*12, 5*12, 10*12, 11*12

=48,60,120,132

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Answer 2

Given,

The angles of a quadrilateral are in the ratio 4:5:10:11.

To find,

The four angles.

Solution,

The four angles of the quadrilateral are 48°, 60°, 120° and 132°.

We can easily solve this problem by following the given steps.

We know that sum of all the angles of a quadrilateral is 360°.

Now, let's take the angles to be 4x, 5x, 10x and 11x.

Sum of four angles = 360°

4x + 5x + 10x + 11x = 360°

30x = 360

x = 360/30

x = 12

The four angles will be:

4x = 4×12 = 48°

5x = 5×12 = 60°

10x = 10×12 = 120°

11x = 11×12 = 132°.

(Note that all the angles in a rectangle and a square are 90°.)