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If the ratio of the complementary angle and the supplementary angle of an angle ∠A is 1∶4, then find ∠A. PLEASE HELP ME AND ANSWER AS QUICKLY AS U CAN |
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Answer» The complementary angle and the supplementary angle of an angle ∠A is 1∶4. Then, ∠A = 60° Explanation: Let the REQUIRED angle be x Then according to the question, ⇒ ( 90° − x ) / ( 180° − x ) = 1/4 ⇒ 4(90° −x) = 180°−x ⇒ 360°−4x = 180°−x ⇒ 360°−180° = −x+4x ⇒ 180° = 3x ⇒ x = 3/180° THEREFORE x = 60° Therefore the required angle is 60°. |
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