7. 

(b) Find x + y + z + w

Answers (1)

Here you will find the detailed solution of the above-written question,

x+120\degree = 180\degree

x=180\degree - 120\degree

x=60\degree

 

y+80\degree = 180\degree

y=180\degree - 80\degree

y=100\degree

 

z+60\degree = 180\degree

z=180\degree - 60\degree

z=120\degree

 

Sum of all angles of quadrilateral = 360\degree

Let the unmarked angle be A.

A+120\degree+60\degree+80\degree=360\degree

A=100\degree

A+w=180\degree

w= 80\degree 

x + y + z + w = 60\degree+100\degree+120\degree+80\degree

x + y + z + w = 360\degree

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