Question 156023
Let x be the measure of the smallest angle.
Then
The measure of the second angle is 4x.
The measure of the third angle is x + 24.
As their sum is 180°, we have
x + 4x + x + 24 = 180
Solving for x, we have
6x + 24 = 180
6x = 156
x = 26
So

The measure of the smallest angle is 26
The measure of the second angle is 4x = 4*26 = 104
The measure of the third angle is x + 24 = 50.