Answer: 1. F: 63° 2. B: 138° 3. C: 117° 4. A: 114°
Explanation:
1.
8x-49=2x+35
8x-49+49=2x+35+49
8x=2x+84
8x-2x=2x+84-2x
6x=84
Divide both parts of the equation by 6:
x=14
Hence,
2(14)+35=
28+35=
63° (F)
2.
10x-18+15x+48=180
25x+30=180
25x+30-30=180-30
25x=150
Divide both parts of the equation by 25:
x=6
Hence,
15(6)+48=
90+48=
138° (B)
3.
7x+5=12x-75
7x+5-7x=12x-75-7x
5=5x-75
5+75=5x-75+75
80=5x
Divide both parts of the equation by 5:
16=x
Hence,
7(16)+5=
112+5=
117° (C)
4.
27x-21+10x+16=180
37x-5=180
37x-5+5=180+5
37x=185
Divide both parts of the equation by 37:
x=5
Hence,
27(5)-21=
135-21=
114° (A)