angle 1 and 2 are a linear pair m angle 1 =x-16 and m angle 2 = x +98 find th measurement of each angle
Mathematics · High School · Tue Nov 03 2020
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We have two angle and they are linear pair angles.
And we have given that these two angle have values in equation:
m angle 1= x - 16
m angle 2 = x + 98
We have to find the value of m angle 1 and m angle 2's value.
We know that linear pair angles are those angels whose sum is 180°,
So we can say that the sum of m angle 1 and m angle 2 is 180°
x -16 +x +98 = 180°
2x +82 = 180°
2x = 180 -82
2x = 98
x = 98/2
x = 49
So now put x= 49 in both angles equation for the value:
m angle 1= x -16
= 49 -16
= 33°
m angle 2= x +98
= 49 +98
= 147°