Question

M 1 = (2x + 28) m 3= (6x + 4) What is m<2 Enter your answer in the box.

Answer 1

Answer:

m∠2 = 140°

Step-by-step explanation:

m∠1 = m∠3, since they're vertical angles.

Solve for x:

$2x+28=6x+4\\24=4x\\6=x$

Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.

m∠1 = (2(6) + 28)°

m∠1 = (12 + 28)°

m∠1 = 40°

Now that we know m∠1, we can now solve for m∠2.

m∠1 + m∠2 = 180°

40° + m∠2 = 180°

m∠2 = 140°