Answer:
Explanation:
The marks on each sides of the two triangles are indication of equality. If two sides of a triangle are equal, it means that the triangle is an isosceles triangle. Also, in an isosceles triangle, the base angles are equal.
Looking at the Smaller triangle, one of its base angles is 71 degrees. It means that the other base angle is also 71 degrees. Since the sum of the angles in a triangle is 180 degrees, then the third angle would be 180 - 2×71 = 38 degrees
The third angle forms an angle with the base angle of the second isosceles triangle. Therefore, the base angle of the second isosceles triangle would be
90 - 38 = 52 degrees
Angle 2 is the third angle of the second isosceles triangle. Therefore,
Angle 2 = 180 - 2× 52 = 76
Therefore
7x + 6 = 76
7x = 70
x = 70/7 = 10