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

x+15=28 +12 Step-by-step explanation:...

Lines b and c are parallel. what is the measure

Ответ:

JadedylaneH6980

10.03.2022

Mathematics

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.

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

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