Question

I have already found X . I need help finding m<2

Answer 1

Given:

`m\angle1=8x-102\text{ and }m\angle4=2x+6`

Required:

`\text{ Find the measure of }\angle2.`

Step-by-step explanation:

Step 1:

`m\angle1=m\angle4`

Step 2:

`\begin{gathered} 8x-102=2x+6 \\ 6x=108 \\ x=18 \end{gathered}`

Step 3:

`\begin{gathered} m\angle1=8(18)-102 \\ m\angle1=144-102 \\ m\angle1=42 \\ Now, \\ m\angle1+m\angle2=180 \\ 42+m\angle2=180 \\ m\angle2=180-42 \\ m\angle2=138 \end{gathered}`

Answer:

Measure of angle 2 equals 138.