Answer:
[tex]m<1=98\°[/tex]
Step-by-step explanation:
Step 1
Find the value of x
we know that
[tex](7x+4)\°=88\°[/tex] ----> by vertical angles
Solve for x
[tex]7x=88-4[/tex]
[tex]x=84/7=12\°[/tex]
Step 2
Find the measure of angle 1
we know that
[tex]m<1+(7x-2)\°=180\°[/tex] ------> by supplementary angles
Substitute the value of x and solve for m<1
[tex]m<1+(7(12)-2)\°=180\°[/tex]
[tex]m<1=180\°-82\°[/tex]
[tex]m<1=98\°[/tex]
