Question

When twice an angle is added to 45 , you get the supplement of the angle. Find the angle

Answer 1

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 = 135/3 = 45 degrees.

Answer 2

Answer:

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