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The three angles of a triangle have measures of x , 2x , and y° , where x > 55. If x and y are integers,
what is one possible value of y ?



Answer :

The possible value of y is 3 when the three angles of a triangle have measures of x, 2x, and y°, where x > 55.

What is the possible value of y?

According to the triangle sum theorem, a triangle's internal angles can be added up to 180 degrees.

x°,2x°,y° are angles in a triangle.

The Sum of angles in a triangle is 180°.

So x° +2x°+y° = 180°

3x+y=180°

But x° > 55

⇒3x° > 3×55 = 175

⇒3x+y > 175+y

And the sum should be 180°.

So

⇒180 > 175+y

⇒y < 5

A possible answer less than 5 is y=3.

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