Answer:
M<1 is 43 degrees and M<2 is 137
Explanation:
This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees
First, we know that M<1 and M<2 added together is 180. We know M<1 is 7x+1, so then, we have:
(7x+1) + (M<2) = 180
Therefore, we have 180-(7x+1) = M<2. We can't solve the equation further on from there, so we move on.
Next, we know that M<2 and M<3 added together is 180. We know that M<3 is 12x-29, so then, we have:
(12x-29) + (M<2) = 180
Therefore, we have 180-(12x-29) = M<2. Now, we have two equations to solve x:
180-(7x+1) = M<2 and 180-(12x-29) = M<2. As both equations equal M<2, they equal each other. Thus, we have:
180-(7x+1) = 180-(12x-29)
We can cancel out 180, so:
-(7x+1) = -(12x-29)
-7x-1 = -12x+29
-30 = -5x
x = 6.
Now that we have x, we can find M<1, M<3, and M<2. M<1 is (7x+1), so we use substitution, putting 6 for x, and M<1 is evaluated to 43 degrees.
Now that we have M<1, we can find M<2 easily. M<1 + M<2 = 180, so 43 + M<2 must be 180. Therefore, M<2 is 137 degrees.
We can do the same for M<3, but the problem does not require it.