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find the measure if complement of a 48 degree angle

Sagot :

Two angles are called complementaries if their sum is 90°.

So, the complement of an angle A is B, in which A + B = 90°.

Given A = 48°. Then:

[tex]48+B=90[/tex]

To find B, subtract 48 from both sides:

[tex]\begin{gathered} 48+B-48=90-48 \\ 0+B=42\degree \\ B=42\degree \end{gathered}[/tex]

Answer: The complement is 42°.