Which statement could be used in step 2 when proving x = 30?

given: m< orp = 80
m prove: x = 30

answer options :
a.) b.) c.) 80= 3x + 10
d.) c=30

we know that

m∠ORP+m∠ORN= ------> by supplementary angles

substitute the values

therefore

the answer is

Option A is the correct choice.

Step-by-step explanation:

We have been given a graph of angles formed around a line and we are asked to choose the correct option that could be used in step 2 to prove that x equals 30.

We can see that angle ORP and angle ORN (3x+10) forms a linear pair as they are adjacent and formed by line PN intersected by line MO.

Therefore, the step 2 to prove that measure of x is 30 will be: is linear pair of angles and option A is the correct choice.

Let us solve for x.

Since linear pair of angles add up-to 180 degrees, so we can set an equation as:

Hence proved.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3