Question

2. In the adjoining figure, find the value of x. Also find the measure of <BOE,<AOC and <COE.

​

Answer 1

Answer:

1. Angel AOC+AngleCOE+AngleBOE+AngleDOE+AngleDOF+AngleFOA+AngleAOC=360 DEGREE
2. BY VERTICALLY OPPOSITE ANGLE WE KNOW THAT,
3. ANGLE AOF=ANGLE BOE(2x=2x)
4. ANGLE COE=ANGLE FOD(33 degree =33 degree)
5. ANGLE BOD=ANGLE AOC(x=x)
6. from the above we know that,
7. x+x+2x+2x+33+33=360
8. 6x+66=360
9. 6x=360-66
10. 6x=294
11. x=294/6=49
12. ANGLE BOE=2x=2*49=98DEGREE
13. ANNGLE AOC=x=49DEGREE
14. ANGLE COE=33DEGREE

Answer 2

AB is a straight line

2x+x+33 = 180

3x = 180 - 33

3x = 147

x = 29

2x :- 2×29 = 58

NOW,

<BOE = < AOF{V.O.A}

<AOF=58

<BOE= 58

<AOC = < BOD {V.O.A}

<BOD = 29

<AOC = 29

< COE = <DOE {V.O.A}

<DOE = 33

<COE = 33