m2=(y+10)° and m4=(3y-24)° what is m<2 show all of your work.

Step-by-step explanation:
m∠2 = m∠4
y + 10 = 3y - 24
y - 3y = -24 - 10
-2y = -34
y = -34/-2
y = 17
m∠2 = y + 10
m∠2 = 17 + 10
m∠2 = 27°
Answer:
[tex]27 \degree[/tex]
Step-by-step explanation:
As the opposite angles are equal,
[tex]m < 2 = m < 4[/tex]
Given that,
m <2 = y + 10°
m <4 = 3y - 24
Therefore,
[tex]y + 10 = 3y - 24[/tex]
Now let's solve for y
[tex]y + 10 = 3y - 24 \\ 10 + 24 = 3y - y \\ 34 = 2y \\ \frac{34}{2} = \frac{2y}{2} \\ 17 = y[/tex]
Now let's find m<2
[tex]m < 2 = y + 10 \\ = 17 + 10 \\ = 27 \degree[/tex]
Hope this helps you.
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