Question

How do you solve this please explain too
lines and transversals

Answer 1

Answer: 50° and 130°

Explanation:

The sum of the adjacent angles is 180°.

Hence,

`16x+2+43x+1=180\\59x+3=180\\59x+3-3=180-3\\59x=177\\`

Divide both parts of the equation by 59:

`x=3`

16x+2=

16*3+2=

48+2=

50°

43x+1=

43*3+1=

129+1=

130°

Answer 2

Answer: x = 3

Step by step. We know that when a transversal crosses a straight line it created the supplementary angle, also adjacent and equals 180 degrees.

We can solve for “x” by adding the two angles to equal 180.

So

16x + 2 + 43x + 1 = 180

Combine like terms

59x + 3 = 180

Subtract 3 from both sides to isolate x

59x +3 -3 = 180 - 3

59x = 177

Divide both sides by 59 to solve for x

59/59 x = 177 /59

X= 3

Now we can check our work by substituting 3 for x in our equation.

16x + 2 + 43x + 1 = 180

(16) (3) + 2 + (43) (3) + 1 = 180

48 + 2 + 129 + 1 = 180

180 = 180

Problem solved!