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Question -

An angle is equal to five times its complement. Determine its measure.



Answer -

Let required measure of angle = x°
∴  Its complement angle = 90° – x
∴  x = 5(90° – x)
⇒  x = 450° – 5x
⇒  x + 5x = 450°
⇒  6x = 450°
⇒ x =  = 75°
∴ Required angle = 75°

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