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Think of a circle. We know it (and all circles) measure 360°. If you think about bisecting that circle, you would divide its 360° by 2, which results in 180°. The circle becomes a half-circle after being bisected, and its straight side (a straight angle) is 180°.
I've attached a diagram illustrating this.
Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
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
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° 
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31% = 0.31 = 0.31 × 575 = 178.25
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