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timama [110]
3 years ago
11

What is the smallest whole number that will round to 80

Mathematics
1 answer:
Oxana [17]3 years ago
5 0
2? I think so if not I'm sorry
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Help solve for x please (ignore my incorrect math)
IgorLugansk [536]

140° + ∠5 = 180°    <em>same side interior angles    </em>⇒  ∠5 = 40°

∠2 ≅ ∠5    <em>vertical angles   ⇒ </em>∠2 = 40°

∠8 = 53°   <em>alternate interior angles</em>

∠3 ≅ ∠8   <em>vertical angles  ⇒ </em>∠3 = 53°

x + ∠2 + ∠3 = 180°  <em>triangle sum theorem</em>

x + 40° + 53° = 180°

x + 93° = 180°

x = 87°

Answer: 87°

Note: I just realized that there is an easier way to solve this:

∠9 + 53° + x = 180°   <em>triangle sum theorem</em>

140° + ∠9 = 180°  <em>supplementary angles </em>⇒  ∠9 = 40°

40° + 53° + x = 180°  

x + 93° = 180°

x = 87°

Use whichever solutions makes sense to you.


     

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