Question

Lines b and c are parallel. What is the measure of 2? m2 = 31° m2 = 50° m2 = 120° m2 = 130°

Answer 1

Answer:

m2 = 50

Step-by-step explanation:

7x+1+18x+4=180

25x+5=180

25x=175

x=7

m2= 7(7)+1 = 50

Answer 2

Answer:

2.  $m\angle 2=50^{o}$

Step-by-step explanation:  

We have been given that lines b and c are parallel.

Since we know that vertical angles are always congruent. We can see that measure of angle 2 will be equal to $(7x+1)^{o}$ as it is the measure of vertical angle of angle 2.  

We can see that $(7x+1)^{o}$ and $(18x+4)^{o}$ form a linear pair, so they will add up to 180 degrees.  

$18x+4+7x+1 =180$  

$25x+5=180$

$25x=180-5$

$25x=175$

$x=\frac{175}{25}$

$x=7$

Now let us substitute value of x in the expression $(7x+1)^{o}$ to find the measure of angle 2.  

$m\angle 2=7x+1$

$m\angle 2=7\times 7+1$

$m\angle 2=49+1$

$m\angle 2=50$

Therefore, the measure of angle 2 will be 50 degrees and 2nd option is the correct choice.