Question

The four angles of a quadrilateral are x, 3x, 2x + 9 and 4x + 11. Find the measure of each angle of
the quadrilateral​

Answer 1

Answer:

34,102,77,147

Step-by-step explanation:

sum of all angles of a quadrilateral =360°

x+3x+2x+9+4x+11=360°

10x+20=360°

10x=360-20

x=34

Answer 2

Answer:

Step-by-step explanation:

Sum of the angles in a quadrilateral = 360°

⇒ x + 3x + 2x+9 + 4x+11 = 360°

⇒ 10x + 20 = 360°

⇒ 10x = 360° - 20

⇒ 10x = 340°

⇒ x = 340° /10

⇒ x = 34°

angles x = 34°

3x = 3 (34°) = 102°

2x + 9 = 2(34°) + 9 = 68° + 9 = 77°

4x+11 = 4(34°) +11 = 136° + 11 = 147°