Answer:
32°, 36°, 112°
Step-by-step explanation:
All of the angles are described in terms of the first angle, so we can use a variable to represent that: x. The second angle is (x+4) and the third angle is (3x+16). As always, the sum of angles in a triangle is 180 degrees:
x +(x +4) +(3x +16) = 180
5x +20 = 180 . . . . . collect terms
5x = 160 . . . . . . . subtract 20
x = 32 . . . . . . . divide by 5
x+4 = 36 . . . . find the other two angles
3x+16 = 3(32) +16 = 112
The angles of the triangular yard are 32°, 36°, and 112°.
