Final answer:
To solve for x in the given triangle, use the fact that the sum of the angles in a triangle is 180 degrees. Angle C can be found by substituting the known values into the equation A + B + C = 180. The triangle is classified as an isosceles triangle.
Step-by-step explanation:
To solve for x in the given triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. Let's label the angles in the triangle as A, B, and C. We can set up the equation A + B + C = 180. Since we are given that angle A = 70 degrees and angle B = 40 degrees, we can substitute these known values into the equation and solve for angle C:
70 + 40 + C = 180
110 + C = 180
C = 70
So, angle C is 70 degrees. Now, to classify the triangle by both angles and sides, we can use the following information:
- An equilateral triangle has all angles equal to 60 degrees and all sides equal in length.
- An isosceles triangle has two angles equal and two sides equal in length.
- A scalene triangle has no equal angles and no equal sides.
Based on the given information, the triangle with angles measuring 70, 40, and 70 degrees is classified as an isosceles triangle.