Answer:
2) m∠CBD = 60 3) x=15; 95 and 85 4) 12 = x; 98 for both angles
Step-by-step explanation:
2) 2x + 14 + x + 7 = 90 The angles add up to 90 degrees
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 from both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 in the equation
2(23) + 14
46 + 14
60
3) 2x + 65 + 3x + 40 = 180 The angles add up to 180 degrees
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug in 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug in 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
