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An angles measure is 12 less than twice its complement. Find the measure of the angle

 Oct 16, 2014

Best Answer 

 #1
avatar+130560 
+5

Let x be the complement

Then the measure of the other angle is just 2x - 12

And they sum to 90 degrees....so we have

x + 2x - 12 = 90

3x - 12 = 90     add 12 to both sides

3x = 102          divide by 3 on both sides

x = 34 degrees    and that's the measure of the complement

Then ...2*34 - 12  =  68  - 12  =  56 degrees...... is the measure of our angle

 

 Oct 16, 2014
 #1
avatar+130560 
+5
Best Answer

Let x be the complement

Then the measure of the other angle is just 2x - 12

And they sum to 90 degrees....so we have

x + 2x - 12 = 90

3x - 12 = 90     add 12 to both sides

3x = 102          divide by 3 on both sides

x = 34 degrees    and that's the measure of the complement

Then ...2*34 - 12  =  68  - 12  =  56 degrees...... is the measure of our angle

 

CPhill Oct 16, 2014

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