Question

Think carefully about the angle relationship the following represents.

Answer 1

#1

• Linear pair

$\\ \rm\Rrightarrow 2x+48=180$

$\\ \rm\Rrightarrow x+24=90$

$\\ \rm\Rrightarrow x=66$

#2

• Complementary angles

$\\ \rm\Rrightarrow 4x+7+35=90$

$\\ \rm\Rrightarrow 4x+42=90$

$\\ \rm\Rrightarrow 4x=48$

$\\ \rm\Rrightarrow x=12$

• 4x+7=4(12)+7=55°

#3

$\\ \rm\Rrightarrow 3x+54=180$

$\\ \rm\Rrightarrow 3x=126$

$\\ \rm\Rrightarrow x=42$

Answer 2

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