The measures of the angles are: 64° and 26°.
Recall: Two angles are complement of each other if they add up to the sum of 90° .
Thus,
Let [tex]x[/tex] represent the first angle
The second angle = [tex](x-38)^{o}[/tex]
Therefore:
[tex]x + (x - 38) = 90[/tex]
Solve for x
[tex]x + x - 38 = 90\\2x - 38 = 90\\2x - 38 + 38 = 90 + 38\\2x = 128\\x = 64[/tex]
The first angle, x, is 64°
The second angle = [tex]x - 38[/tex]
Plug in the value of x
[tex]= 64 - 38\\= 26[/tex]
Therefore, the measures of the two angles are 64° and 26°
Learn more about complementary angles here:
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