Consider that angle ABC is similar to angle XYZ and the measure of angle B is 68 degrees. What is the measure of angle Y?

m∠Y = 105 degrees

Step-by-step explanation:

Here ΔABC and ΔXYZ are similar. Therefore, the angles of the two triangles are equal in measure.

m∠A = 44 = m∠X, m∠C = 31 = m∠Z

m∠Y = m∠B

m∠X + m∠Y +m∠Z = 180         {sum of the interior angles add upto 180]

44 + m∠Y + 31 = 180

75 + m∠Y = 180

m∠Y = 180 - 75

m∠Y = 105

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3