Answer:
12. <4 = 100°
Explanation:
For number 12. angle m<2 is a corresponding angle to angle m<6 . So the equations, (3x+20) and (5x-20) are equal to each other.
So lets set them equal to each other:
(3x+20) = (5x-20)
40 = 2x
x = 20
Now we need to plug in the value of x into the equation of angle m<2, to find its angle.
(3x+20) = ?
(3(20)+20) = ?
= 80 degrees
m<2 = 80 degrees
We need to find <4
Since <4 and <2 share the same line and are supplementary angles (they add up to 180) we can subtract the value of <2 from 180 to find <4
180 - 80 = 100
So <4 is 100 degrees.