Question

The 4 angles of a quadrilateral form an AP. if the sum of first 3 angles are 60 more than the 4th angle,find all the angles​

Answer 1

Answer:

fourth angle = 60°

sum of first three angles = 210°

Step-by-step explanation:

let abcd is a quadrilateral

forth angle = x

sum of first three angles = x+60

the sum of angles of quadrilateral = 360°

∠a+∠b+∠c+∠d =360°

x+60 + x =360°

2x+60=360°

2x = 360°-60°

2x =300°

⇒x=150°

fourth angle = x= 150°

sum of first three angles = x+60°

                                         = 150°+60° =210°