Question

Can someone please tell me the answer on this.

Answer 1

Answer: x = 31

Step-By-Step:

To Find x:

`\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180` (Angle Sum Property Of Triangles)

(Remove the brackets)

`2x+20+x+10+2x-5=18`

(Group Accordingly)

`2x+x+2x+20+10-5=180`

=
`5x+20+10-5=180`

=
`5x\:+\:25`
`=180`

=
`5x= 180 - 25`

=
`5x = 155`

=
`x=(155)/(5)`

=
`31`

Therefore x = 31

So,

Angle A = x + 10 = 31 + 10 = 41

Angle B = 2*x + 20 = 2*31 + 20 = 82

Angle C = 2*x - 5 = 62 - 5 = 57