Question

The adjacent angles of a quadrilateral are 87° each and the third angle is 145° find the fourth angle.​

Answer 1

Answer:

sum of adjacent angle is 180

87+X=180

X=180-87=93

sum of all angles of a quadrilateral is 360

87+93+145+X=360

325+X=360

X=360-325=35

fourth side is 35

Answer 2

given :

adjacent angles = 87°

third angle = 145°

to find :

the fourth angle = ?

solution :

angle sum property of quadrilateral = sum of all angle is equal to 360

let the fourth angle be 'x'

87° + 87° + 145° + x = 360°

319° + x = 360°

x = 360° - 319°

x = 41°

answer :

fourth angle = 41°

let's check :

angle sum property of quadrilateral = sum of all angle is equal to 360

=> 87° + 87° + 145° + 41°

=> 360°

therefore the answer is right

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