Find the value of xin the triangle shown below

Step-by-step explanation:

Solution 1:

Recall that in an isosceles triangle, the two angles adjacent to the congruent sides are equal. Since the sum of interior angles in a triangle add up to , we set up the following equation:

.

Solving, we get:

.

Solution 2:

The Law of Sines states:

, for any triangle.

We can use this to set up a proportion with the information given:

.

Solving, we get:

.