Question

solve for x in the triangle. explain your reasoning.
27°
x°
x°
which of the following is a correct response?
show hints
the sum of the measures of the interior angles of a triangle is 180°. this means that x° + 27
the sum of the measures of the interior angles of a triangle is 90°. this means that x° + 27°
the sum of the measures of the interior angles of a triangle is 180°. this means that x° + x°
the sum of the measures of any two interior angles of a triangle is equal to the measure of the

Explanation:

Step1: Recall the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

In the given triangle, the angles are \(27^{\circ}\), \(x^{\circ}\), and \(x^{\circ}\). So, \(x + x+27=180\).

Answer:

The sum of the measures of the interior angles of a triangle is \(180^{\circ}\). This means that \(x^{\circ}+x^{\circ}+27^{\circ} = 180^{\circ}\)