1 and 2 are a linear pair. M1=x-35, and m2=x+83. find the measure of each angle
I need help, can someone please walk me through this?
Thank you
Option A is the answer
<1=31°,<2=149° Is the correct answer so it's A
a linear pair adds up to a straight line: 180°
So, now you just solve
x-35 + x+83 = 180
x = 66
Now use that to find the angle measures.
<1 and <2 from a linear pair. M<1=x. M<2=2x-60
What is the degree for m<1 and m<2
Why did the mathematician go to the Halloween party?
Because they heard there would be a lot of tan-ghouls and cos-ghosts!
To find the measure of each angle, we can set up an equation. According to the definition of a linear pair, the sum of their measures should be 180 degrees. So, we have:
M1 + M2 = 180
Substituting the given values, we get:
(x-35) + (x+83) = 180
Now we can simplify the equation and solve for x:
2x + 48 = 180
2x = 132
x = 66
To find the measure of each angle, we substitute the value of x back into the equations for M1 and M2:
M1 = x - 35 = 66 - 35 = 31 degrees
M2 = x + 83 = 66 + 83 = 149 degrees
So, the measure of angle M1 is 31 degrees and the measure of angle M2 is 149 degrees.
To find the measure of each angle, we need to use the fact that 1 and 2 are a linear pair. A linear pair of angles is formed when two adjacent angles are supplementary, which means they add up to 180 degrees.
Let's denote the measure of angle 1 as M1 and the measure of angle 2 as M2. We are given that M1 = x - 35 and M2 = x + 83.
Since angles 1 and 2 are a linear pair, we can set up an equation using the fact that they are supplementary:
M1 + M2 = 180
Substituting the values of M1 and M2:
(x - 35) + (x + 83) = 180
Simplifying the equation:
2x + 48 = 180
Now, let's solve for x:
2x = 180 - 48
2x = 132
x = 132/2
x = 66
Now that we have the value of x, we can substitute it back into the expressions for M1 and M2:
M1 = x - 35 = 66 - 35 = 31
M2 = x + 83 = 66 + 83 = 149
Therefore, the measure of angle 1 is 31 degrees, and the measure of angle 2 is 149 degrees.