Sum of measure of two angles, of linear pair is equal to 180 degrees. The measure of first angle is 133 degrees and measure of the second angle is 133 degrees.
What is linear pair angles?
Linear pair angle is the two angles on a straight line, such that the sum of these two angle equal to the angle of straight line, which is 180 degrees.
Given information-
The two angle are in linear pair.
The measure of the first angle minus 39 is equal to twice the measure of the second angle.
Let suppose the first angle is [tex]x[/tex] degrees and second angle is [tex]y[/tex] degrees. As the sum of two linear pair angle is equal to the 180 degrees. Thus,
[tex]x+y=180\\y=180-x[/tex]
Let the above equation as equation number 1.
As the measure of the first angle minus 39 is equal to twice the measure of the second angle. Thus,
[tex]x-39=2y[/tex]
Put the value of y from equation one as,
[tex]x-39=2(180-x)\\x-39=360-2x\\2x+x=360+39\\3x=399\\x=\dfrac{399}{3}\\x=133^o[/tex]
Thus the measure of the first angle is 133 degrees. Put the value in equation as,
[tex]y=180-133\\y=47[/tex]
Thus the measure of the second angle is 47 degrees.
Hence, the measure of two angles, which are in the linear pair is 133 degrees and 47 degrees.
Learn more about the linear pair angles here;
https://brainly.com/question/13218054
