Ahome has a triangular backyard. the second angle of the triangle is 6 more than the first angle. the third angle is 14 more than three times the first angle. find the angles of the triangular yard

The first angle is 32 degrees

The second angle is 38 degrees

The third angle is 110 degrees.

Step-by-step explanation:

Let x represent the size of the first angle.

Let y represent the size of the second angle.

Let z represent the size of the third angle.

The second angle of the triangle is 6 more than the first angle. This means that

y = x + 6

The third angle is 14 more than three times the first angle. This means that.

z = 3x + 14

The sum of the angles in a triangle is 180 degrees. It means that

x + y + z = 180 - - - - - - - - - - - -2

Substituting y = x + 6 and z = 3x + 14 into equation 2, it becomes

x + x + 6 + 3x + 14 = 180

x + x + 3x = 180 - 14 - 6

5x = 160

x = 160/5 = 32

y = x + 6

y = 32 + 6 = 38

z = 3x + 14

z = 3×32 + 14 = 96 + 14

z = 110

go on the tube you might find some information there