The sum of the angle 6x° and the angle (2x+2)° is equal to 90°. When this happens we can call the angles complementaries.
So, the angle relationship is complementary angles.
Taking into account than the sum of them is 90°, we can write the following equation:
6x + (2x + 2) = 90
So, solving for x, we get:
6x + 2x + 2 = 90
(6+2)x + 2 = 90 distributive property
8x + 2 = 90
8x + 2 - 2 = 90 - 2 substracting 2 on both sides
8x = 88
8x/8 = 88/8 dividing by 8 on both sides
x = 11
Therefore, x is equal to 11
Answers: A. Complementary angles
B. x = 11