Question

M2=(y+10)° and m4=(3y-24)° what is m<2 show all of your work. ​

Answer 1

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 2

Answer:

$27 \degree$

Step-by-step explanation:

As the opposite angles are equal,

$m < 2 = m < 4$

Given that,

m <2 = y + 10°

m <4 = 3y - 24

Therefore,

$y + 10 = 3y - 24$

Now let's solve for y

$y + 10 = 3y - 24 \\ 10 + 24 = 3y - y \\ 34 = 2y \\ \frac{34}{2} = \frac{2y}{2} \\ 17 = y$

Now let's find m<2

$m < 2 = y + 10 \\ = 17 + 10 \\ = 27 \degree$

Hope this helps you.

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