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Art [367]
3 years ago
5

An angle measures 45.6° less than the measure of its complementary angle. What is the measure of each angle?​

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

Step-by-step explanation:

Let the first angle be x,

second angle= x-45.6°

Now,

x+(x-45.6)°=90°

x+x-45.6°=90°

2x-45.6°=90°

2x=90°+45.6°

2x=135.6

x=135.6/2

x=67.8

Hence,

First angle= x= 67.8°

Second angle= x-45.6°= 67.8°-45.6°= 22.2°

alexdok [17]3 years ago
3 0

Let the angle be x

  • Other angle be x+45.6

ATQ

\\ \bull\longmapsto x+x+45.6=90

\\ \bull\longmapsto 2x+45.6=90

\\ \bull\longmapsto 2x=90-45.6=44.4

\\ \bull\longmapsto x=44.4/2=22.2

  • x+45.6=22.2+45.6=67.8
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