Using the diagram shown, solve for x. Show your work.

Answer: x = 27.5
Step-by-step explanation:
The angles of a triangle add up to 180°.
Given the angles, set them equal to 180
2x - 5 + 3x + 20 + 2x = 180
Simplify the equation
2x - 5 + 2x + 20 + 2x = 180
6x + 15 = 180
Solve for x
6x + 15 = 180
- 15 -15
6x = 165
divide both sides by 6
x = 27.5
9514 1404 393
Answer:
x = (23 4/7)°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(3x+20°) +(2x -5°) +2x = 180°
7x +15° = 180°
7x = 165° . . . . . . . . subtract 15°
x = 23 4/7° . . . . . . divide by 7
_____
Check
3x +20° = 90 5/7°
2x-5° = 42 1/7°
2x = 47 1/7°
The total is 179 7/7° = 180°, as required.