Respuesta :
Answer:180 degrees
Step-by-step explanation: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.
Angle of (2x+45) is [tex]45^{0}[/tex].
What is angle?
"An angle is formed when two straight lines or rays meet at a common endpoint."
Let 'x' be the angle
We have, [tex]2x+45^{0}[/tex]
According to the question angle [tex]2x+45^{0}[/tex] is the supplement to the given angle
i.e., [tex]x+(2x+45^{0} )=180^{0}[/tex]
⇒[tex]3x+45^{0} =180^{0}[/tex]
⇒[tex]3x=180^{0} -45^{0}[/tex]
⇒[tex]x=\frac{135^{0} }{3}[/tex]
⇒[tex]x=45^{0}[/tex]
∴ Angle of (2x+45) = [tex]45^{0}[/tex]
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