Use the Isosceles Triangle Theorem to solve for .
Start at the 148. Find the angle adjacent (next to) the 148. Then
find the other part of the right angle. Keep working around until
you can get to x .

Did you know that isosceles triangles have a delightful property? Their base angles are always congruent! So, if you have an angle measuring 148 degrees in the triangle, the other two angles combined must add up to 32 degrees. That’s because the sum of all angles in any triangle is always 180 degrees.

Now, since the triangle is isosceles, those two base angles will be equal, meaning you can simply divide that remaining 32 degrees by 2. Each base angle will therefore measure 16 degrees. Once you’ve got that, you can easily find based on its position within the triangle. If it’s the adjacent angle to the 148-degree angle, simply follow the logic to solve for with the angle relationships you’ve established!