Question

Three angles of a Quadrilateral are 100°, 100° and 75° respectively. Find the measure of the fourth angle

Answer 1

Answer:

the sum of 4 angles of a quadrilateral is 360.....so,let remaining angle be x ......then 100+100+75+x=360......now 360-275=x.......so x =85°

Answer 2

Step-by-step explanation:

$\bf \underline{Solution-}$

Sum of the three given ∠s of quadrilateral = 100° + 100° + 75° = 275°

Sum of the four angles of a quadrilateral = 360°

∴ Fourth angle = 360° - 275° = 85°

Hence, the measure fourth angle of a given quadrilateral is 85°