Respuesta :
Answer: ∠1 = 109° ∠2 = 71°
Step-by-step explanation:
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
CHECK:
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° [tex]\checkmark[/tex]
Answer: x=20, angle 1 =109, and angle 2= 71, 109+71=180
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Step-by-step explanation: ∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71