The measures of the angles of a triangle can be represented by the expressions x degrees, quantity of x plus twenty degrees, and two times x degrees. Which word best describes the triangle?

The triangle is an acute triangle.

The triangle is a right triangle.

The triangle is an obtuse triangle.

There is not enough information to classify the triangle.

Question

The measures of the angles of a triangle can be represented by the expressions x degrees, quantity of x plus twenty degrees, and two times x degrees. Which word best describes the triangle? 

 The triangle is an acute triangle. 

 The triangle is a right triangle. 

 The triangle is an obtuse triangle. 

 There is not enough information to classify the triangle.

mathstudent55 · Answer

You need to find x.
Once you know x, substitute the value for x in the expression for each angle to find if the angles are acute, right, or obtuse.

mathstudent55 · Answer

What do you know about the sum of the measures of the angles of a triangle?

anonymous · Answer

It has to equal 180 degrees right?

mathstudent55 · Answer

Correct.
Now since you know the angle measures
x, x + 20 and 2x, 
add the above angle measures and set equal to 180.
Then you solve the equation to find x

x + x + 20 + 2x = 180
Now solve this equation for x.

anonymous · Answer

Thank you (:

mathstudent55 · Answer

You're welcome.

mathstudent55 · Answer

Once you find the value of x, replace x in
x
x + 20
2x
and find the measure of each angle.
Then you'll be able to tell if there is a right angle or an obtuse angle.