Math, asked by hyperharsh04, 17 hours ago

if an angle is 28° less than its complement, find its measure ​

Answers

Answered by kavin88714
1

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Answer:

The key word complement means right angle which is 90 degree.

Step-by-step explanation:

90-28 =MEASURE

= 6=2 degree

Therefore, Answer verified

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Answered by IIMrLegendII
11

QUESTION:- If an angle is 28° less than its complement, find its measure

ANSWER:

 \sf \: Let  \: the  \: required  \: angle \:  be \:  x

 \sf \: Then \:  its \:  complement \:  =(90°-x)

 \sf \: Given  \: that  \: the  \: angle \:  is  \: 28°  \: less  \: than \:  its  \: complement

 \sf Then  \: x  \: = 90° -x-28°

x+x= 90°-28°

 \sf \: 2x= 62°

 \sf \: x =  \frac{ \cancel{62}}{ \cancel2}

x = 31°

So, the complement of the given angle is 31°

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