Q. 12
Find the angle whose complement is four times its supplement.
Answer :
180°
Let the angle = X
Complement of X = 90° – X
Supplement of X = 180° – X
According to question,
⇒ 90° – X = 4(180° – X)
⇒ 180° – X = 720° – 4X
⇒ – X + 4X = 720° – 180°
⇒ 3X = 540°
⇒ X = 180°
Therefore angle = 180°
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