in triangle SET, ES is congruent to ET, measure angle S = 4x - 6 and measure angle T = 3x + 3. Find the measurement of angle S, angle E, and angle T

Answer 1

Angle E and Angle T should be equal.
So, angle E = angle T = 3x + 3.

Sum of all the angles of a triangle is 180 degree.
So,

angle S + angle E + angle T = 180;
or, (4x-6) + (3x+3) + (3x+3) = 180;
or, 10x = 180;
or, x = 18 degree.

Put the value of x in the provided equations and you get all the angle values.