Question

4. Find each angle of a parallelogram is two if two consecutive angles are in the ratio 1:3​

Answer 1

Answer:

All the angles = 45° , 45° , 135° , 135°

Step-by-step explanation:

As we all know parallelogram is a quadrilateral

So sum of all its angles = 360°

Now,

Given,

Two consecutive angles are in the ratio 1:3​

Let the angles be 1x and 3x

We all know that  in a parallelogram the opposite angles are equal.

So there will 2 pairs of opposite angles which are equal

∴ All the angles of a parallelogram

= 1x + 1x + 3x + 3x

where 1x + 1x is one pair of equal opposite angles

and  3x + 3x is the second pair of equal opposite angles

To find all the angles -

1x + 1x + 3x + 3x = 360° ( sum of all angles )

⇒ 8x = 360

⇒ x = 360/8

= 45

Putting the value of x =

1x = 1 * 45 = 45°

3x = 4 * 45 = 135°

∴ All the angles = 45° , 45° , 135° , 135°

hope it helps you..

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