Question

3. The angles of a quadrilateral are in the ratio 3: 4:5:6. The largest of these angles is
(a) 90°
(b) 120
(c) 150
(d) 102​

Answer 1

Step-by-step explanation:

LET THE ANGLES BE 3X, 4X, 5X, 6X

THE SUM OF INTERIOR ANGLE OF A QUADRILATERAL IS 360 DEGREE

3X+4X+5X+6X=360

18X=360

X=360\18

X=20

3X=3×20=60

4X=4×20=80

5X=5×20=100

6X=6×20=120

(b) 120 is correct answer

Answer 2

Ans.

3:5:9:13

3x+5x+9x+13x=360°

30x=360°(multiply)

x=12.

angle A=3x=3(12)=36°

angle B=5x=5(12)=60°

angle C=9x=9(12)=180°

angle D=13x=13(12)=156°

total. 360°