Question

To proove angle sum property of quadrilateral

Answer 1

Answer:

Sum of the angles( at vertices ) of an quadrilateral is 360°.

Step-by-step explanation:

There is a formula, to get the sum of the all angles on any object.

Formula : ( n - 2 ) x 180°,

where n is the number of lines present in that object( 2D ).

Now,

We know  that the quadrilateral has 4 sides, so while applying the formula we can assume n as 4.

Therefore,

⇒ Sum of all angles = ( 4 - 2 ) x 180°

⇒ Sum of all angles = 2 x 180°

⇒ Sum of all angles = 360°

Hence, proved that the sum of all angles of an quadrilateral is 360°.

We can also prove it, as quadrilateral is joined structure of two triangles, so sum of all angles of both the triangles will equal to the sum of quadrilateral i.e. ( 180° + 180° ) Or 360°.

Hence, proved.

Answer 2

Hello!!

$<b>Answer :-</b >$

Angle sum property of quadrilateral is 360°.

$<b>Solution :-</b>$

Formula to find the sum of angles of any object is $<b> (n-2) × 180°</b>$

Where n is the number of lines⚞.

Now,

We know that,

Number of lines in quadrilateral is 4

Therefore,

N=4

So,

➡️ (4 - 2) × 180

➡️ 2 × 180

➡️ 360

Therefore

The sum of angles of quadrilateral is 360.

____________________&

Hope it will help you

@thanksforquestion

@bebrainly