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satela [25.4K]
3 years ago
8

Measures of an angle and five times it’s complement is 298 what is the measure of the angle

Mathematics
1 answer:
Marianna [84]3 years ago
7 0
Complementary angles add up to 90<span>°, therefore, let's say the angles are "a" and "b".

so the sum of "a" plus " 5 times its complement", that is 5 times "b" is 298, so a + 5b = 298.

now, if a + b = 90, that means b = 90 - a.

therefore

</span>\bf a+5b=298\implies a+5(90-a)=298\implies a+450-5a=298&#10;\\\\\\&#10;-4a=-152\implies a=\cfrac{-152}{-4}\implies a=38<span>
</span>
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<h3>Answers:</h3>

1% of 300 is <u>    3     </u>

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========================================

Further explanation:

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