Question 447953: 5. What is the angle that is half of its own complement?
(A)30, (B) 45, (C) 60, (D) 90, (E) 120 Found 2 solutions by ewatrrr, Leaf W.:Answer by ewatrrr(24785) (Show Source):
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°)
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
