Question

use what you know about triangles to write a paragraph proof that proves that the sum of the angles in a quadrilateral is 360 degrees

Answer 1

Answer:

We know, 

Sum of Angles at vertices of any quadrilateral is [ ( n - 2 ) × 180 ] 

N = Number of sides, 

Applying formula, 

sum of all angles = ( 4 - 2 ) × 180

sum of all angles = 2 × 180

sum of all angles = 360°

Answer 2

Step by step explanation :

We know that sum of angles in a triangle = 180°

Now draw a diagonal in a quadrilateral to make 2 triangles

Now total sum of angles in a quadrilateral = sum of angles of two triangles

Now, converting,

Sum of angles in a quadrilateral = 2*180°

=360°

HENCE PROVED

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