Question

select the best classification for the triangle by its angles. right acute equiangular obtuse

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(x + 2x+135=180\).

Step2: Combine like - terms

\(3x + 135=180\).

Step3: Solve for \(x\)

Subtract 135 from both sides: \(3x=180 - 135\), so \(3x = 45\). Then divide both sides by 3, \(x = 15\). The other two angles are \(x = 15^{\circ}\) and \(2x=30^{\circ}\).

Step4: Classify the triangle by its angles

Since one of the angles is \(135^{\circ}\) which is greater than \(90^{\circ}\), the triangle is obtuse.

Answer:

Obtuse