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Difference between two complementary anglesis 60°. Find each angle. |
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Answer» complementary angles ?Complimentary angles are pair of those angles WHOSE sum MAKES an angle of 90°.Now ,taking VARIOUS cases to find out the angle measure.Given that the difference of two complementary angles is 60°Let us assume that the first angle be xsecond angle be yAccording to the Questionx-y=60°Taking possible cases 90°30°=60° case I Here ,it is not possible because 90+30=120>90° which not formed a complimentary angle.Taking 2ND situation80-°20°=60° Case IIHere,it's not possible because 80°+20°=100° which is >90° not a complimentary angle.70-10°=60° Case III It is possible because 70+10=80° which is <90° it's also not a complimentary angleCase IV75°-15°= 60°Here,it's a complimentary angles pair as 75°+15°=90°∴The angles are 75° & 15°Alternative methodLet the first angle be 'x'second angle be 90-x90-x-x=60°90-2x=60-2x=-30x=15second angle =90-15=75°∴The angles are 15° & 75° |
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