find the value of x in the triangle shown below.\nx = □°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the three angles of the triangle be (50^{\circ}), (x^{\circ}), and the third - angle (y^{\circ}).

Step2: Since two sides of the triangle are equal (both 14), it is an isosceles triangle

In an isosceles triangle, the angles opposite the equal sides are equal. So the angle opposite the side of length 14 and the given (50^{\circ}) angle are equal.

Step3: Calculate the value of (x)

We know that (x + 50+50=180) (by the angle - sum property of a triangle). [x=180-(50 + 50)] [x = 80]

Answer:

80