If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same angle is a/b where a and b are not zero?

The cotangent of the angle will be b/a

Step-by-step explanation:

Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,

then the cotangent will be the reciprocal of the value of the tangent

= 1 / (a/b)

= 1 x (b/a)

= b/a

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180