Question

which of the following groups of angles can be the four angles of quadrilateral

a)120° 40° 20° 180°
b)50°130°125° 75°
c)70° 90° 80° 100°


plz explain how to find​

Answer 1

Answer:

Here's your answer

(a) 120° 40°20°180°

As the sum of angles of a Quadrilateral is 360°..

So 120+40+20+180=360

360=360

Hope it helps ✌

Answer 2

Therefore the option with the angles [ 120° 40° 20° 180° ] can form a Quadrilateral. ( Option-a )

Given:

Some sets of angles are given in the options-

a) 120° 40° 20° 180°

b) 50° 130° 125° 75°

c) 70° 90° 80° 100°

To Find:

The option which could make the Quadrilateral.

Solution:

The given question can be solved as shown below.

Concept:

The sum of interior angles of a Quadrilateral always adds up to 360°.

Now verify each option individually for finding the option which could make 360° on adding up.

Option-(a.):

Sum of given angles = 120 + 40 + 20 + 180 = 360°

Option-(b.):

Sum of given angles = 50 + 130 + 125 + 75 = 380°

Option-(c.):

Sum of given angles = 70 + 90 + 80 + 100 = 340°

Therefore the option with the angles [ 120° 40° 20° 180° ] can form a Quadrilateral.

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