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Sagot :
Answer:
See below ↓↓↓
Step-by-step explanation:
Subquestion #1
- These angles form a linear pair
- They are supplementary, and add up to 180°
- 2x + 48 = 180
- 2x = 132
- x = 66
Subquestion #2
- These angles are complementary, and add up to 90°
- 35 + 4x + 7 = 90
- 4x + 42 = 90
- 4x = 48
- x = 12
Subquestion #3
- As in #1, they are a linear pair, and are supplementary
- 3x + 54 = 180
- 3x = 126
- x = 42
#1
- Linear pair
[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]
[tex]\\ \rm\Rrightarrow x+24=90[/tex]
[tex]\\ \rm\Rrightarrow x=66[/tex]
#2
- Complementary angles
[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]
[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]
[tex]\\ \rm\Rrightarrow 4x=48[/tex]
[tex]\\ \rm\Rrightarrow x=12[/tex]
- 4x+7=4(12)+7=55°
#3
[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]
[tex]\\ \rm\Rrightarrow 3x=126[/tex]
[tex]\\ \rm\Rrightarrow x=42[/tex]
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