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Question

Two complementary angles are in the ratio 7:8. Find the angles

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Solution

It is given that two complementary angles are in the ratio 7:8.


Consider 7x and 8x as the angles.


We know that, if two angles are complementary, then their sum is 90o.

Then, 7x+8x=900

15x=900

x=9015=60.


Here, the angles will be:

7x=7×6o=420 and 8x=8×6=480.


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