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Flura [38]
3 years ago
15

What must the value of x be, so that a parallel to b, m∠2 = 70°, and m∠7=(3x + 10)°?

Mathematics
1 answer:
Ksju [112]3 years ago
5 0
70=3x+10
Subtract 10 from both sides
60=3x
Divide both sides by 3
20=x
x=20
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The rest of the question is the attached figure

========================================

solution:

========

As show in the attached figure


∠M = ∠R = 54.4°


∠N = ∠T = 71.2°


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∠S = 180° - (∠R + ∠T) = 180° - (54.4°+71.2°) = 54.4°


∠O = ∠S = 36°


∴ Δ MNO is similar to Δ RTS


So, the correct statement:


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Option c : 9 is the answer.

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