Find angle picture below!

Angle T = 62°; Angle U = 43°; Angle V = 75°

Step-by-step explanation:

First, find x. We know that the interior angles of a triangle will always add up to 180°.

180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms

180° = 13x + 24 –––Subtract 24 from both sides

156° = 13x ––– Divide both sides by 13 to get x alone

12° = x

Now that we know what x is, we can substitute it in the expressions for the angles.

Angle T:

5x +2

5(12) + 2

60 +2

62°

Angle U:

2x + 19

2(12) + 19

24 + 19

43°

Angle V:

6x + 3

6(12) + 3

72 + 3

75°

Check:

They must equal 180° when added together:

75° + 62° + 43° = 180°

75° + 105° = 180°

180° = 180°

yes

yes yes yes

linear pair postulates