(I) Sum of interior angle of quadrilateral = (n-2)×180

(4-2)×180

2×180

360

Let the Fourth angle be x

ATQ

65+55+130+x=360

250+x=360

x=360-250

x=110

Hence, the fourth angle is 110

(ii) The two adjacent angle are 75 and 125

let the other two angle be x

75+125+x+x=360

200+2x=360

2x=360-200

2x=160

x=160÷2

x=80

Hence other two angles are 80

Answer:

Let x be the other angle

Given: measure of two adjacent angles of a quadrilateral are 110∘,50∘. 

We know that, Sum of angles of quadrilateral = 360∘

∴x+x+110∘+50∘=360∘

⇒x=100∘

Step-by-step explanation:

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