Question

A quadrilateral has angles that measure 56°, 97°, and 136°and x . ffind the value of x

Answer 1

Hey!
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Angle 1= 56°
Angle 2= 97°
Angle 3= 136°
Angle 4= x

We know that sum of all angles of a quadrilateral is 360°
A+B+C+D=360°

So,

56+97+136+x=360
289+x=360
x=360-289
x=71°

Angle 4=71°

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Hope it helps...!!!

Answer 2

as the quadrilateral has four sides 

then,

sum of angles of quadrilateral =(2n-4)*90 

=(8-4)*90

=4*90

=360

then 

56+97+136+x=360

153+136+x=360

289+x=360

x=360-289

x=71