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2 years ago

3RD TIME PLS REALLY NEED THIS

Mathematics

2 answers:

Sophie [7]2 years ago

7 0

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 <em>corresponding</em>.

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.

tatyana61 [14]2 years ago

6 0

Answer:

Part A: a) Corresponding angles

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

Part C: x = 9

m<1 = 98

m<2 = 82

Explanation:

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

12x - 10 = 10x + 8

2x = 18

x = 9

m<1:

12(9) - 10 = 98

m<2:

98 + y = 180

y = 82

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