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Sagot :
The measure of the complement is 25°.
What is supplementary and complementary angles?
If the sum of two angles is 180 degrees then they are said to be supplementary angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
Given that, [tex]A_{1}[/tex] = 115°
sum of two angles [tex]A_{1}+A_{2} = 180[/tex]°
[tex]A_{2} = 180- A_{1}[/tex]
[tex]A_{2} = 180- 115[/tex]
[tex]A_{2} = 65[/tex]°
Since, [tex]A_{1}[/tex] and [tex]A_{2}[/tex] are supplementary angles.
Now,
Complementary angles add to 90, so the complement of [tex]A_{2}[/tex] is 90 - [tex]A_{2}[/tex] .
Then,
90-65
= 25°
Hence, The measure of the complement is 25°.
To learn more about supplementary and complementary from the given link:
https://brainly.com/question/404323
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