Respuesta :

absor201

Answer:

x=5

AOB = 8

BOC = 13

AOC = 21

Step-by-step explanation:

Angle AOB and Angle BOC is equal to Angle AOC.

AOB = x+3

BOC = 4x-7

AOC= 2x+11

AOB + BOC = AOC

x+3+4x-7 = 2x+11

5x-4 = 2x+11

3x = 15

x = 5

Therefore, the value of x is 5.

Angle AOB = x+3

AOB = 5+3

AOB = 8

Angle BOC = 4x-7

BOC = 4(5)-7

BOC = 13

Angle AOC = 2x+11

AOC = 2(5)+11

AOC = 21

!!

lublana

Answer:

x=5

[tex]\angle AOC=21[/tex]

[tex]\angle AOB=8[/tex]

[tex]\angle BOC=13[/tex]

Step-by-step explanation:

We are given that

[tex]\angle AOB=x+3[/tex]

[tex]\angle AOC=2x+11[/tex]

[tex]\angle BOC=4x-7[/tex]

We have to solve for x and find the angle measures

[tex]\angle AOC=\angle AOB+\angle BOC[/tex]

[tex]2x+11=x+3+4x-7[/tex]

[tex]2x+11=5x-4[/tex]

[tex]11+4=5x-2x[/tex]

[tex]15=3x[/tex]

[tex]x=\frac{15}{3}=5[/tex]

Substitute the value of x then, we get

[tex]\angle AOC=2(5)+11=21[/tex]

[tex]\angle AOB=5+3=8[/tex]

[tex]\angle BOC=4(5)-7=13[/tex]