Question

find the value of x in this triangle.
which of the following is the correct response?
show hints
25
111
52
125

Explanation:

Step1: Recall the sum of angles in a triangle

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

Step2: Set up the equation

Let the angles of the triangle be \(27^{\circ}\), \(42^{\circ}\), and \(x^{\circ}\). Then \(27 + 42+x=180\).

Step3: Simplify the left - hand side

\(27 + 42=69\), so the equation becomes \(69+x = 180\).

Step4: Solve for \(x\)

Subtract 69 from both sides: \(x=180 - 69\).
\(x = 111\).

Answer:

111