Answer:
mAngle2 = 50°
Step-by-step explanation:
A relative schematic has been attached bellow describing the problem.
In this case, we will be working with Supplementary angles. The latter denote angles which when summed together equal to 180°.
From the schematic we can identify the following Supplementary pairs as:
∠1 and ∠2
∠2 and ∠(18x+4)
∠(18x+4) and ∠(7x+1)
∠(7x+1) and ∠1
So lets start by finding the value of [tex]x[/tex] as follow. Since we know the supplementary pairs we have that
[tex](18x+4)+(7x+1)=180\\18x+7x+4+1=180\\25x+5=180\\25x=180-5\\25x=175\\x=\frac{175}{25} \\x=7[/tex]
Now we similarly know that ∠2 and ∠(18x+4) are supplementary. So lets replace the value of [tex]x[/tex] in ∠[tex]18x+4[/tex], we have
[tex]18(x=7)+4=126+4=130[/tex]
So finally we have
[tex]<2 + 130=180\\<2=180-130\\<2=50[/tex]
Thus we can say that ∠2 = 50° (which matches the second options from the available ones).
