Answer:
The triangle is not isosceles
Explanation:
The initial figure is:
Now, the angle with measure 55° and angle A are vertically opposite angles. It means that these angles have the same measure. So, angle A has a measure of 55°.
In the same way. Angle x and B are vertically opposite angles. So, angle B has a measure of x°
Then, the sum of the interior angles of a triangle is always 180°. It means that:
A + B + 60° = 180°
55° + x° + 60° = 180°
Solving for x, we get:
115° + x° = 180°
x° = 180° - 115°
x° = 65°
Finally, a triangle isosceles if two of its interior angles have the same measure. Since the measures of the interior angles of the triangle are 60°, 55°, and 65°, the triangle is not isosceles.
