Question

Three angles of a quadrilateral are 75°,90°,and 75°. The fourth angle is a)90° b)95° c)105° d)120°

Answer 1

Solution:-

Three angle of quadrilateral are 75⁰,90⁰ and 75⁰

Let fourth angle be x

We know that sum of all angle of quadrilateral is 360⁰

Now we can write,

=> 75⁰+90⁰+75⁰+x=360⁰

=> 150⁰+90⁰+x=360⁰

=> 240⁰+x=360

=> x=360-240

=> x=120

Answer:- 4th angle of quadrilateral is 120⁰