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tatyana61 [14]
3 years ago
10

the measures of two complementary angles are in the ratio 4:1. what is the measure of the smaller angle?

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0
Two complementary angles: α,β

Definition of complementary angles:
α+β=90
β=4α
4α+α=90
5α=90 /:5
α=18

Measure of smallest angle is 18 degrees.
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I tryed my best to figure out what all of the numbers were. if i got any wrong then please tell me and i will put the right answer in the comments.

1) 3/5= 5/x   (cross multiply)
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       x= 25/3 -or- 8.33

2) 2/4=x/12<span>   (cross multiply</span><span>)
</span> 2(12)=4x
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3) 10/x=5/9<span>   (cross multiply</span><span>)
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4) 5/5=x/18</span><span>   (cross multiply</span><span>)
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