Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
Answer:
m=-1
Step-by-step explanation:
Slope is:
m=(y1-y2)/(x1-x2)
Let's choose two values for (x1,y1) and (x2,y2)
x1=-2
y1=0
x2=0
y2=-2
Plug into slope formula:
m=(0-(-2))/(-2-0)
m=2/-2=-1
Answer:
(80, 120)
Step-by-step explanation:
y - 40 + y = 200
2y = 240
y = 120
x = 120 - 40
x = 80
Hope it helped
Answer:
correct answer is B hope this helps :)
Step-by-step explanation:
Answer:
infinite solutions
Step-by-step explanation:
4x = 2x + 2x + 5(x-x)
Simplify
4x = 2x + 2x + 5*0
4x = 2x + 2x
4x = 4x
Divide by x
4 =4
This is always true so this has infinite solutions