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Lila draws a 145 degree angle. then she divides it into three smaller angles. One of the smaller angles measures 65 degrees, then the other two are equal in measure. What is the measure of the other two.

Respuesta :

popalabdulqayou
let x to be the smaller angle:

2x+65=145

2x=80

so 80 is the measure of other two small angles which are 40°

Let each of the equal small angles be x.

The sum of three small angles is 145 degrees. One of these small angles is 65  degrees.

Now let us substitute the given information in an equation.

[tex]2x+65=145[/tex]

After subtracting 65 from both sides of equation we get

[tex]2x=80[/tex]

Dividing both sides of equation with 2 we get

[tex]x=\frac{80}{2}=40[/tex]

Therefore measure of each of the remaining angles is 40 degrees.

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