SOLUTION: when twice of a angle is added to 45 , you get a supplement of a angle find the angle?

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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): You can put this solution on YOUR website!
2x+45=180
2x=180-45
2x=135
x=135/2
x=67.5
Answer by ikleyn(52848)   (Show Source): You can put this solution on YOUR website!
.
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.

Solved.



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