Question

Segment and angle addition with system of equations segment addition

Answer 1

Answer:We know that the angle in a straight line is 180 degrees.

Therefore,

40x - 4y = 180 (1)

20x + 16y = 180 (2)

Multiply (1) by 4, we get,

160x - 16y = 720

20x + 16y = 180 (from (2))

Adding, we get,

180x = 900

Explanation:

Answer 2

We know that the angle in a straight line is 180 degrees.

Therefore,

40x - 4y = 180 (1)

20x + 16y = 180 (2)

Multiply (1) by 4, we get,

160x - 16y = 720

20x + 16y = 180 (from (2))

Adding, we get,

180x = 900

`x=5^(0)`

Substituting in (1), we get,

40(5) - 4y = 180

200 - 4y = 180

-4y = 180 - 200

-4y = -20

`y=5^(0)`