Question

HELPPPP MEEEEEE PLEASEEEEhey tutor how you doing doing I struggle with math so much.

Answer 1

`m\measuredangle8=110^o`

Step-by-step explanation:

The angles 4 and 8 are equal; therefore,

`m\measuredangle8=m\measuredangle4`
`3x+20=x+80`

Subtracting x from both sides gives

`2x+20=80`

Subtracting 20 from both sides gives

`2x=80-20`
`2x=60`

Finally, dividing both sides by 2 gives

`\boxed{x=30.}`

With the value of x in hand, we now find the measure of angle 8.

`m\measuredangle8=x+80`
`m\measuredangle8=30+80`
`\boxed{m\measuredangle8=110^o\text{.}}`

Hence, the measure of angle 8 is 110.