Hi,

What is the angle that is half of its own complement?

Let x and 2x represent the measure of this angle and its complement

Question states*** Note: complementary angles have a sum = 90°

 x + 2x = 90°

  3x = 90°

   x = 30°       (and its complement would be 60°)

 

Answer by Leaf W.(135)   (Show Source): You can put this solution on YOUR website!
 x = angle

Since a complement of angle x means that the complement plus the angle add up to 90 degrees, the expression of the complement would be 90 - x

"angle...is half of its own complement"

angle = (complement)



Distribute the one-half into the 90 and -x: 

Multiply both sides by 2 to clear fraction: 

Add x to both sides: 

Divide both sides by 3: 

***THEREFORE, THE ANGLE THAT IS HALF OF ITS OWN COMPLEMENT IS (A) 30 

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