Question

3RD TIME PLS REALLY NEED THIS

Answer 1

9514 1404 393

Answer:

  A. a

  B. b

  C. 9, 98, 82

Step-by-step explanation:

See attached.

"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.

From ...

  12x -10 = 10x +8

  2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation

  x = 9 . . . . . . . divide by 2

Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.

Answer 2

Answer:

Part A: a) Corresponding angles

Part B: b) 12x - 10 = 10x + 8

Part C: x = 9

m<1 = 98

m<2 = 82

Explanation:

B)

Since they're corresponding angles, they're equal to each other:

12x - 10 = 10x + 8

C)

12x - 10 = 10x + 8

2x = 18

x = 9

m<1:

12(9) - 10 = 98

m<2:

98 + y = 180

y = 82