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an angle is 22 degrees smaller than a second angle. the two angles are complementary. what is the measure of the smaller angle? ​

Respuesta :

Let the first angle be x°.

Then the second angle shall be (x - 22)°.

The two angles are complementary. Hence their sum shall be 90°.

First angle + second angle = 90°

=> x° + x° - 22° = 90°

=> 2x° = 112°

=> x° = 56°

Hence first angle = x° = 56°.

Second angle = (x - 22)° = 34°.

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