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If all angles are measured in degrees, the ratio of three times the measure of \(\angle A\) to four times the measure of the complement of \(\angle A\) to half the measure of the supplement of \(\angle A\) is \(3:14:4\). What is the number of degrees in the measure of the complement of \(\angle A\)?

 Nov 4, 2019
 #1
avatar+106539 
+3

So

 

We have that

 

3A  : 4(90 - A)  : (180 - A ) / 2   =     3   :  14   :    4

 

 

So

 

3A / [ 4 (90 -  A )]  =   3 /14

 

14* 3A   =   3 * 4 (90 - A)

 

42A  = 1080 - 12A

 

54A  = 1080

 

A  = 20°

 

The complememt of A  = 70°

 

 

cool cool cool

 Nov 4, 2019

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