1 and 2 are a linear pair. M1=x-35, and m2=x+83. find the measure of each angle
soo......... it was???.....wat
it either B or D
To find the measure of each angle, we need to set up an equation based on the given information.
First, let's recall what a linear pair is. A linear pair consists of two adjacent angles whose measures add up to 180 degrees.
In this case, let's assume that angle 1 (M1) is x-35 degrees, and angle 2 (M2) is x+83 degrees.
Since they are a linear pair, their measures should add up to 180 degrees. So we can set up the following equation:
M1 + M2 = 180
Substituting the given values, we get:
(x-35) + (x+83) = 180
Now, let's solve the equation to find the value of x.
x - 35 + x + 83 = 180
2x + 48 = 180
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 to find their measures.
M1 = x - 35 = 66 - 35 = 31 degrees
M2 = x + 83 = 66 + 83 = 149 degrees
Therefore, the measure of angle 1 (M1) is 31 degrees, and the measure of angle 2 (M2) is 149 degrees.
a linear pair add to 180 degrees.
x-35 + x+83 = 180
2x = 132
x = 66
I assume you can now find the measure of each angle.
If you know what is meant by linear pair, what was the trouble? If you do not know, did you think of reviewing your material first?