Question

angle of a quadrilateral are 5 x + 50° 4 x + 1 60° angle 6 + 60 degree angle 3 y + 100° write a linear equation which satisfies these data​

Answer 1

The sum of four angles of a quadrilateral = 5x-30+3x+60+60-x+4x+50 = 360⁰

Or, 5x+3x-x+4x-30+60+60+50 = 360

Or, 11x+140 = 360

Or, 11x = 360–140

Or, 11x = 220

Or, x = 220/11

Or, x = 20

The angles are

5x-30 = 5×20-30 = 100-30 = 70⁰

3x+60 = 3×20+60 = 60+60 = 120⁰

60-x = 60 – 20= 40⁰

4x+50 = 4×20+50 = 80+50 = 130

The smallest angle = 60-x = 60 – 20= 40⁰

NOBITA221✔