One angle of a triangle has a measure of 66. the measure of the third angle is 57 more than half the measure of the second angle. the sum of the angle measures of a triangle is 180

The measure of the second ans third angles is 38° and 76° respectively.

Step-by-step explanation:

Let angles of the triangle be  : x,y,z

x =  First angle of the triangle = 66°

y = Second angle of the triangle

z = Third angle of the triangle

According to question:

(Angle sum property of triangle)

y = 38°

z = 76°