Question 1100179: when twice of a angle is added to 45 , you get a supplement of a angle find the angle? Found 2 solutions by arpityadav2005, ikleyn:Answer by arpityadav2005(1) (Show Source):
Let "x" be the measure of the angle the problem is asking for.
"when twice of a angle is added to 45" is the angle (2x+45) degrees.
The problem says that the angle (2x+45) is the supplement to the given angle.
It means that
x + (2x + 45) = 180 degrees. <<<---=== This equation is the exact meaning of the condition.
Simplify and solve this equation for x:
3x + 45 = 180 ====> 3x = 180 - 45 = 135 ====> x = = 45 degrees.
Check. The given angle is 45 degs.
"when twice of a angle is added to 45" is the angle 2*45 + 45 = 135 degs.
45 + 135 = 180. ! Correct. !
Answer. The angle the problem asks for is 45 degrees.
