Find the measure of an angle which is 36°more than its complement. (who explain it with step by step will be rewarded as brainliest answer and rated as excellent)
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Step-by-step explanation:
Let x be the one angle.
So, the complement of x=90o−x.
Given, an angle is 36o more than its complement.
⇒ x=(90o−x)+36o
⇒ x=90o−x+36o
⇒ x+x=126o
⇒ 2x=126o
⇒ x=2126o
⇒ x=63o.
Therefore, complementary of x,
=90o−x
=90o−63o
=27o.
Hence, the required angle is x=63o.
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