RiverG637422 RiverG637422
  • 25-10-2022
  • Mathematics
contestada

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

I have already found X I need help finding mlt2 class=

Respuesta :

LeynahO477348 LeynahO477348
  • 25-10-2022

Given:

[tex]m\angle1=8x-102\text{ and }m\angle4=2x+6[/tex]

Required:

[tex]\text{ Find the measure of }\angle2.[/tex]

Explanation:

Step 1:

[tex]m\angle1=m\angle4[/tex]

Step 2:

[tex]\begin{gathered} 8x-102=2x+6 \\ 6x=108 \\ x=18 \end{gathered}[/tex]

Step 3:

[tex]\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}[/tex]

Answer:

Measure of angle 2 equals 138.

Answer Link

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